Properties of the Number 50976

Fifty Thousand Nine Hundred Seventy-Six

Basics

Value: 50975 → 50976 → 50977

Parity: even

Prime: No

Previous Prime: 50971

Next Prime: 50989

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 59

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011100100000

Octal: 143440

Duodecimal: 25600

Hexadecimal: c720

Square: 2598552576

Square Root: 225.77865266672134

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 partitions p of n such that (number of numbers in p that have multiplicity 1) > (number of numbers in p having multiplicity > 1). A329976

Numbers k for which A354102(k) = A354102(σ(k)). A354106

Numbers with prime factorization pq^3r^5. A190011

Numbers n such that σ(n) is congruent to n mod φ(n). A66679

Shifts left when Dirichlet convolution with a (DC:(b,a)->c) applied 5 times. A144819

a(0)=1, a(n)= n^n-2(7n²-3n+2)/6 (n>0). A81917

Indices of rows of triangle A262432 where the maximum term of the row is a new record. A262464

Square array A(n,k), n>=1, k>=1, read by antidiagonals, with A(1,k)=1 and sequence a_k of column k shifts left when Dirichlet convolution with a_k (DC:(b,a_k)->a) applied k times. A144823

G.f. A(x) = ∑_n>=0 a(n)*xⁿ where a(n) = ∑_k=0..n-1 2^n-k-1 * ( ([x^k] A(x)ⁿ) (mod 2ⁿ) ) for n > 0, with a(0) = 1. A376232

Haupt-exponents of 4 modulo integers relatively prime to 4. A50976