Properties of the Number 56364

Fifty-Six Thousand Three Hundred Sixty-Four

Basics

Value: 56363 → 56364 → 56365

Parity: even

Prime: No

Previous Prime: 56359

Next Prime: 56369

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 11 × 61

Divisors: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110000101100

Octal: 156054

Duodecimal: 28750

Hexadecimal: dc2c

Square: 3176900496

Square Root: 237.41103596926575

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

Nonzero coefficients of the Swiss-Knife polynomials for the computation of Euler, tangent, and Bernoulli numbers (triangle read by rows). A153641

Triangle, read by rows, of numbers T(n,k), 0 <= k <= n, given by T(n,k) = A000364(n-k)*binomial(2·n, 2·k). A86646

Sum of all the parts in the partitions of n into 5 parts. A308822

a(n) = Euler(2·n)*binomial(4·n,2·n). A214445

a(n) = binomial(2·n, n)*2ⁿ*|Euler(n, 1/2) - Euler(n, 0)|. A343846

G.f. A(x) satisfies: A(x) = x - x² * exp(A(x) - A(x²)/2 + A(x³)/3 - A(x⁴)/4 + ...). A363087

Inventory sequence: record the number of zeros thus far in the sequence, then the number of ones thus far, then the number of twos thus far and so on, until a zero is recorded; the inventory then starts again, recording the number of zeros. A342585

Number of primitive (period n) bracelet structures using a maximum of five different colored beads. A56364