Properties of the Number 36848

Thirty-Six Thousand Eight Hundred Forty-Eight

Basics

Value: 36847 → 36848 → 36849

Parity: even

Prime: No

Previous Prime: 36847

Next Prime: 36857

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 ² × 47

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 47, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111110000

Octal: 107760

Duodecimal: 193A8

Hexadecimal: 8ff0

Square: 1357775104

Square Root: 191.95832881122922

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) = 2·binomial(n,3). A7290

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

Triangular array read by rows: a(n, k) = number of ordered factorizations of a "hook-type" number with n total prime factors and k distinct prime factors. "Hook-type" means that only one prime can have multiplicity > 1. A98348

a(n) = 2·A000447(n). A259110

a(n) = 144·n² - n. A156635

a(n) = 64·n² - 16. A157913

a(n) = 576·n² - 2·n. A158371

a(n) = 256·n² - 16. A158562

a(n) is the number of ordered partitions of {1, 1, 1, 1, 2, 3, ..., n-3}. A172111

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x<R, y<R, z>R, where R=max{w,x,y,z}-min{w,x,y,z}. A212752