Properties of the Number 72049

Seventy-Two Thousand Forty-Nine

Basics

Value: 72048 → 72049 → 72050

Parity: odd

Prime: No

Previous Prime: 72047

Next Prime: 72053

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 109 × 661

Divisors: 1, 109, 661, 72049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101110001

Octal: 214561

Duodecimal: 35841

Hexadecimal: 11971

Square: 5191058401

Square Root: 268.41944787961995

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

Expansion of 1/(1-x(1-12x)). A146084

a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ). A11932

Number of partitions of 0 having positive part-sum <= n. A209536

Number of rooted trees with n nodes such that no more than three isomorphic subtrees extend from the same node. A318850

Least k such that φ(k·n) = φ(k·n+1), or 0 if no such k exists. A275412

a(n) = floor(2^{n/(floor(n·log(2}/log(prime(n)))))). A72049