Properties of the Number 52748

Fifty-Two Thousand Seven Hundred Forty-Eight

Basics

Value: 52747 → 52748 → 52749

Parity: even

Prime: No

Previous Prime: 52747

Next Prime: 52757

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13187

Divisors: 1, 2, 4, 13187, 26374, 52748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000001100

Octal: 147014

Duodecimal: 26638

Hexadecimal: ce0c

Square: 2782351504

Square Root: 229.66932751240424

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 without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189264

T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than k-1 elements moved to themselves. A271684

Number of nX5 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189260

Number of 4Xn binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189266

E.g.f. satisfies: A'(x) = exp(A(x)) / (1 - A(x))². A257476

Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than 3-1 elements moved to themselves. A271679

Expansion of e.g.f.: -(log(1-x))³. A52748