Properties of the Number 56880

Fifty-Six Thousand Eight Hundred Eighty

Basics

Value: 56879 → 56880 → 56881

Parity: even

Prime: No

Previous Prime: 56873

Next Prime: 56891

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 5 × 79

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111000110000

Octal: 157060

Duodecimal: 28B00

Hexadecimal: de30

Square: 3235334400

Square Root: 238.49528297222147

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and column not divisible by 5, read as a binary number with top and left being the most significant bits. A262795

The PDO(n) function (Partitions with Designated summands in which all parts are Odd): the sum of products of multiplicities of parts in all partitions of n into odd parts. A102186

Number of integer partitions of n whose multiplicities appear with distinct multiplicities. A325329

McKay-Thompson series of class 8c for the Monster group. A112145

McKay-Thompson series of class 8b for Monster. A58088

Expansion of (χ(q)⁵ * χ(-q))² in powers of q where χ() is a Ramanujan θ function. A143894

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: ∏_j>0 1/(1-j^k*x^j)^1/j. A294761

a(n) = 18*(n - 2)*(2·n - 5). A60787

The list of the k values in the common solutions to the 2 equations 7·k+1 = A², 11·k+1 = B². A161585

Numbers in A075728 which are not one less than some prime. A179232