Properties of the Number 52657

Fifty-Two Thousand Six Hundred Fifty-Seven

Basics

Value: 52656 → 52657 → 52658

Parity: odd

Prime: No

Previous Prime: 52639

Next Prime: 52667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 4787

Divisors: 1, 11, 4787, 52657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110110110001

Octal: 146661

Duodecimal: 26581

Hexadecimal: cdb1

Square: 2772759649

Square Root: 229.47113108188577

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

a(n) = ∑_k=1..n φ(gcd(k, n))^{n/gcd(k, n} - 1). A342542

a(n) is the number of terms in the expansion of (x+y-z)*(x²+y²-z²)*(x³+y³-z³)*...*(xⁿ+yⁿ-zⁿ). A86817

Expansion of e.g.f. x²/((1-x)²*(1+x)). A52657