Properties of the Number 56292

Fifty-Six Thousand Two Hundred Ninety-Two

Basics

Value: 56291 → 56292 → 56293

Parity: even

Prime: No

Previous Prime: 56269

Next Prime: 56299

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4691

Divisors: 1, 2, 3, 4, 6, 12, 4691, 9382, 14073, 18764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101111100100

Octal: 155744

Duodecimal: 286B0

Hexadecimal: dbe4

Square: 3168789264

Square Root: 237.25935176510956

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

Square array T(n,k) = number of plane partitions of n with parts colored in (at most) k colors; n >= 0, k >= 0; read by antidiagonals. A306100

Square array T(n,k) = number of plane partitions of n with parts colored in (at most) k colors; n, k >= 1; read by antidiagonals. A306101

Number of plane partitions of n where parts are colored in (at most) 4 colors. A306094

Triangle read by rows: T(n,k) = A003415(A002110(n)+A002110(k)), 0 <= k <= n; arithmetic derivatives of the sums of two primorial numbers. A370129

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] 1 / ( (1-x) * (1-y) * (1 - log(1-x) * log(1-y))³ ). A382825

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A298217

Number of distinct nonzero absolute values of ∑_j=1..n sigma_j * exp(i * π * j / n) where sigma_j = +- 1. A13914

Number of n-bead necklace structures using a maximum of four different colored beads. A56292

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A298221

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A299350