Properties of the Number 54756

Fifty-Four Thousand Seven Hundred Fifty-Six

Basics

Value: 54755 → 54756 → 54757

Parity: even

Prime: No

Previous Prime: 54751

Next Prime: 54767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 13 ²

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010111100100

Octal: 152744

Duodecimal: 27830

Hexadecimal: d5e4

Square: 2998219536

Square Root: 234

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

Largest square <= n³. A65733

Number of n X 2 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically. A207436

Squares with initial digit '5'. A45788

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k³. A53819

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,2 or 1,1. A264110

Number of 2 X 2 planar subsets in an n X n X n cube. A270205

Nearest integer square to n³. A77118

a(n) = (6·n)². A16910

Numbers that are the sum of seven fourth powers in ten or more ways. A345576

Numbers that are the sum of seven fourth powers in exactly ten ways. A345832