Properties of the Number 52547

Fifty-Two Thousand Five Hundred Forty-Seven

Basics

Value: 52546 → 52547 → 52548

Parity: odd

Prime: No

Previous Prime: 52543

Next Prime: 52553

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 11 × 17 × 281

Divisors: 1, 11, 17, 187, 281, 3091, 4777, 52547

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110101000011

Octal: 146503

Duodecimal: 264AB

Hexadecimal: cd43

Square: 2761187209

Square Root: 229.23132421202823

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 odd-length integer partitions of n whose parts do not have the same mean as median. A359896

G.f. satisfies: A(x) = x³ - x + Series_Reversion(x - x·A(x)). A212919

Number of partitions of 2·n into parts with multiplicity <= n. A232623

Integers arising in A133677. A133645

a(n) = number of partitions of n wherein the sum of the 1's is no more than the sum of the other parts. A83690

Expansion of (1-x)/(1-x-2·x²+x³). A52547

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Numbers n such that product of n with sum of next n consecutive integers is palindromic. A37050