92801 (number)
92,801 (ninetytwo thousand eight hundred one) is an odd fivedigits prime number following 92800 and preceding 92802. In scientific notation, it is written as 9.2801 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 92,800 positive integers (up to 92801) that are relatively prime to 92801.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  92 thousand 801 

Full name  ninetytwo thousand eight hundred one 
Notation
Scientific notation  9.2801 × 10^{4} 

Engineering notation  92.801 × 10^{3} 
Prime Factorization of 92801
Prime Factorization 92801
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  92801  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.438212694578  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 92,801 is 92801. Since it has a total of 1 prime factor, 92,801 is a prime number.
Divisors of 92801
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  92802  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  46401  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  304.63256556055  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999784487403  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 92,801 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 92,801) is 92,802, the average is 46,401.
Other Arithmetic Functions (n = 92801)
φ(n)  Euler Totient  92800  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  92800  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8956  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 92,800 positive integers (less than 92,801) that are coprime with 92,801. And there are approximately 8,956 prime numbers less than or equal to 92,801.
Divisibility of 92801
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  2  1  2 
92,801 is not divisible by any number less than or equal to 9.
Classification of 92801
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (92801)
Base  System  Value 

2  Binary  10110101010000001 
3  Ternary  11201022002 
4  Quaternary  112222001 
5  Quinary  10432201 
6  Senary  1553345 
8  Octal  265201 
10  Decimal  92801 
12  Duodecimal  45855 
16  Hexadecimal  16a81 
20  Vigesimal  bc01 
36  Base36  1zlt 
Basic calculations (n = 92801)
Multiplication
n×yn×2  185602 

n×3  278403 
n×4  371204 
n×5  464005 
Division
n÷yn÷2  46400.500 

n÷3  30933.666 
n÷4  23200.250 
n÷5  18560.200 
Exponentiation
n^{y}n^{2}  8612025601 

n^{3}  799204587798401 
n^{4}  74166984952279411201 
n^{5}  6882770370556481638864001 
Nth Root
^{y}√n^{2}√n  304.63256556055 

^{3}√n  45.274210460232 
^{4}√n  17.453726409009 
^{5}√n  9.8516853189181 
92801 as geometric shapes
Circle
Radius = nDiameter  185602 

Circumference  583085.87969157 
Area  27055476360.629 
Sphere
Radius = nVolume  3.3477003489903E+15 

Surface area  108221905442.52 
Circumference  583085.87969157 
Square
Length = nPerimeter  371204 

Area  8612025601 
Diagonal  131240.43280179 
Cube
Length = nSurface area  51672153606 

Volume  799204587798401 
Space diagonal  160736.0469932 
Equilateral Triangle
Length = nPerimeter  278403 

Area  3729116474.254 
Altitude  80368.0234966 
Triangular Pyramid
Length = nSurface area  14916465897.016 

Volume  94187163931275 
Height  75771.699206674 
Cryptographic Hash Functions
md5  ac5fc11b88fce539f7c3a348511c063a 

sha1  b3f8f6f5684078ee166ef148843b2b35f2883f32 
sha256  de288e6a31e9645b7e9ca476b92b014c4663163076eddd7b4e0ec94b378c2d0b 
sha512  6d63ae8f5836979617c32c5faf2f861f09b3d36f53294607b4994a4693b2d84cc92d4841307405c5630ea588a6bd3eb039af00c488b72a18849a67b2711e518f 
ripemd160  d98de374b101bc08d8fc2c16b7c03dc16ec22462 