Properties of the Number 42536

Forty-Two Thousand Five Hundred Thirty-Six

Basics

Value: 42535 → 42536 → 42537

Parity: even

Prime: No

Previous Prime: 42533

Next Prime: 42557

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 13 × 409

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 409, 818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011000101000

Octal: 123050

Duodecimal: 20748

Hexadecimal: a628

Square: 1809311296

Square Root: 206.24257562394823

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

Reversion of y - y² - y⁴ + y⁵. A63030

a(n) = 4*(n - 1)*(16·n - 23) for n >= 1. A304378

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 433", based on the 5-celled von Neumann neighborhood. A272147

Solid partitions of n, distinct along rows. A2936

Number of compositions of n into parts 3, 5 and 9. A245370

Numerators of continued fraction convergents to sqrt(797). A42536

Total number of different ways to fill m labeled boxes with balls which belong to the specifications provided by all the integer partitions [n] of n. Empty boxes are not allowed. Total number of possible preferential arrangements (or hierarchical orderings) of n elements if the elements may belong to c=1 up to c=n different classes (or specifications). A137383

Number L([n],m) of ways the labeled parts of each integer partition of n can be distributed into m nonempty labeled boxes. A139359

Least prime p such that all digits of p·prime(n) are the same (or -1 if p does not exist). A328455