Properties of the Number 36800

Thirty-Six Thousand Eight Hundred

Basics

Value: 36799 → 36800 → 36801

Parity: even

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 5 ² × 23

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 23, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111000000

Octal: 107700

Duodecimal: 19368

Hexadecimal: 8fc0

Square: 1354240000

Square Root: 191.83326093250878

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 ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters. A102860

a(n) = 23·n². A244632

Expansion of e.g.f. arcsinh(x·exp(x)). A297010

G.f. satisfies A(x) = 1 + x·A(x)³ * (1 + A(x))². A371661

Numbers with 42 divisors. A175750

Number of simplicial 4-clusters with n cells. (Formerly M2679). A182322

Expansion of g.f. (1+x)²*(x²-6·x+1)/(x-1)⁴. A136264

Numbers of the form p⁶*q²*r where p, q, and r are distinct primes. A179703

High-temperature series for spin-1/2 Heisenberg susceptibility on b.c.c. lattice. A2168

Totally multiplicative sequence with a(p) = a(p-1) + 7 for prime p. A166704