Properties of the Number 52578

Fifty-Two Thousand Five Hundred Seventy-Eight

Basics

Value: 52577 → 52578 → 52579

Parity: even

Prime: No

Previous Prime: 52571

Next Prime: 52579

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 127

Divisors: 1, 2, 3, 6, 9, 18, 23, 46, 69, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110101100010

Octal: 146542

Duodecimal: 26516

Hexadecimal: cd62

Square: 2764446084

Square Root: 229.29893152825636

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 unordered pairs of partitions of n (into distinct parts) with empty intersection. A108796

Sum of the smallest parts of all compositions of n into distinct parts. A336902

Total sum of the sums of all positive k-th ranks of all partitions of n. A208483

5-tuples of practical numbers: numbers n such that n-6, n-2, n, n+2, n+6 are all practical numbers. A287683

G.f. A(x) satisfies A(x) = 1 + ∑_n>=1 A(x)ⁿ * 2·xⁿ/(1 - 2·x^2·n). A192403

Number of basic blocks of size 5xn for tilings with square tiles of size up to 5 X 5. A54858

a(0) = 0, a(n) = 4·n! for n > 0. A52578