Properties of the Number 52648

Fifty-Two Thousand Six Hundred Forty-Eight

Basics

Value: 52647 → 52648 → 52649

Parity: even

Prime: No

Previous Prime: 52639

Next Prime: 52667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 6581

Divisors: 1, 2, 4, 8, 6581, 13162, 26324, 52648

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110110101000

Octal: 146650

Duodecimal: 26574

Hexadecimal: cda8

Square: 2771811904

Square Root: 229.45151993395032

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

Number of subsets of {1,2,3,...,n} whose sum is a square integer (including the empty subset). A126024

Number of partitions of n such that (greatest part) + (least part) < number of parts. A237822

Triangle read by rows: T(n,k) = (n-1)*T(n-1,k) + T(n-2,k), with T(n,n-1)=1, T(n,n-2)=n-2, for n >= 1, 0 <= k <= n-1. A228340

Catafusenes (see reference for precise definition). A44049

Number of irreducible normal polynomials of degree n over GF(2) that are not primitive. A272033

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood. A272557

Numbers which converge to 2592 under repeated application of the powertrain map of A133500. A135384

Number of perfect matchings in the graph C₆ x C_n. A232804

Expansion of e.g.f. 5·x/(1-x). A52648

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = (1/2)*(7 - 3·sqrt(5)). A221366