Properties of the Number 52272

Fifty-Two Thousand Two Hundred Seventy-Two

Basics

Value: 52271 → 52272 → 52273

Parity: even

Prime: No

Previous Prime: 52267

Next Prime: 52289

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 11 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110000110000

Octal: 146060

Duodecimal: 26300

Hexadecimal: cc30

Square: 2732361984

Square Root: 228.6307065990918

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 connected induced (non-null) subgraphs of the antiprism graph with 2n nodes. A286183

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero. A268092

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

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column one larger mod 3 than the previous repeated value, and upper left element zero. A267952

a(n) = A123610(2·n+2,n). A123618

Column 5 of triangle A123610. A123615

Numbers with prime factorization p²*q³*r⁴ where p, q, and r are distinct primes. A190115

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

Reversion of Jacobi theta₃. A6195

Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27. A85788