Properties of the Number 52022

Fifty-Two Thousand Twenty-Two

Basics

Value: 52021 → 52022 → 52023

Parity: even

Prime: No

Previous Prime: 52021

Next Prime: 52027

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 19 × 37 ²

Divisors: 1, 2, 19, 37, 38, 74, 703, 1369, 1406, 2738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101100110110

Octal: 145466

Duodecimal: 26132

Hexadecimal: cb36

Square: 2706288484

Square Root: 228.08331810985212

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) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-37·x). A170757

Number T(n,k) of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258829

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

a(n) = n³ * ∏_{p∣n, p prime} (1 + 1/p). A33196

Number of parts in all partitions of n in which no part occurs more than 3 times. A117148

a(n) = p³ + p² where p = prime(n). A135178

a(n) = 36·n² + n. A157324

Numbers that are divisible by the square of the sum of the squares of their digits. A379980

a(n) = 144n² + 2n. A158132