Properties of the Number 54990

Fifty-Four Thousand Nine Hundred Ninety

Basics

Value: 54989 → 54990 → 54991

Parity: even

Prime: No

Previous Prime: 54983

Next Prime: 55001

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 13 × 47

Divisors: 1, 2, 3, 5, 6, 9, 10, 13, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011011001110

Octal: 153316

Duodecimal: 279A6

Hexadecimal: d6ce

Square: 3023900100

Square Root: 234.49946695035365

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

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives y numbers. A125491

Number of free pure symmetric multifunctions with leaves a multiset whose multiplicities are the integer partition with Heinz number n. A317655

a(n) = (7·n + 3)*(7·n + 4). A177071

G.f. satisfies A(x) = 1 / (1 + x*(1 + x·A(x))³). A364761

Seventh diagonal (m=6) of triangle A084938; a(n) = A084938(n+6,n) = (n⁶ + 45·n⁵ + 925·n⁴ + 11475·n³ + 92314·n² + 413640·n)/720. A90392

Expansion of x * φ(x) * ψ(x¹⁴) / (f(-x) * f(-x⁷)) in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A193883

Number of dessins d'enfants D(n,g) with n edges of genus g, read by rows. A380453

a(n) = n*(n+1)*(5·n² - n - 3)/2. A172118

Number of prime divisors of n! + 1 (counted with multiplicity). A54990