Properties of the Number 52768

Fifty-Two Thousand Seven Hundred Sixty-Eight

Basics

Value: 52767 → 52768 → 52769

Parity: even

Prime: No

Previous Prime: 52757

Next Prime: 52769

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 17 × 97

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 97

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000100000

Octal: 147040

Duodecimal: 26654

Hexadecimal: ce20

Square: 2784461824

Square Root: 229.71286424577968

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) is the number of integers·that can be written x = (2^c(1) - 2^c(2) - 3·2^c(3) - 3²*2^c(4) - ... - 3^m-2*2^c(m) - 3^m-1) / 3^m for integers c(1), c(2), ..., c(m) such that n = c(1) > c(2) > ... > c(m) > 0 and c(1) - c(2) ≠ 2 if m >= 2. A131450

a(n) = n·A056219(n+1). A166869

Expansion of (1-2x)²/((1-x)²(1-2x-x²)²). A108360

Poincaré series for hyperbolic reflection group with Coxeter diagram shown in Comments. A265051

a(n) = n*(n-1)*(n-2)*(n-3) for n>=5. A52768