Properties of the Number 56549

Fifty-Six Thousand Five Hundred Forty-Nine

Basics

Value: 56548 → 56549 → 56550

Parity: odd

Prime: No

Previous Prime: 56543

Next Prime: 56569

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 193 × 293

Divisors: 1, 193, 293, 56549

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110011100101

Octal: 156345

Duodecimal: 28885

Hexadecimal: dce5

Square: 3197789401

Square Root: 237.80033641691932

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 nXk binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally. A228683

Number of binary arrangements without adjacent 1's on n X n array connected e-w ne-sw nw-se. A67963

Expansion of (η(q⁴) / η(q))⁸ in powers of q. A92877

a(n) = [xⁿ] ∏_k>=1 ((1 + x^2·k)/(1 - x^2·k-1))ⁿ. A296044

Expansion of (theta₂(q)/theta₃(q))⁴/16 in powers of q. A5798

Number of n X 5 binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally. A228680

Number of 5 X n binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally. A228686

a(n) = ∑_k>=1 round(n/k) where round(1/2)=1. A56549

9-dimensional centered tetrahedral numbers. A8503