Properties of the Number 42272

Forty-Two Thousand Two Hundred Seventy-Two

Basics

Value: 42271 → 42272 → 42273

Parity: even

Prime: No

Previous Prime: 42257

Next Prime: 42281

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 1321

Divisors: 1, 2, 4, 8, 16, 32, 1321, 2642, 5284, 10568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010100100000

Octal: 122440

Duodecimal: 20568

Hexadecimal: a520

Square: 1786921984

Square Root: 205.60155641434235

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

Triangle of Euler-Bernoulli or Entringer numbers read by rows: T(n,k) is the number of down-up permutations of n+1 starting with k+1. A8282

Triangle of Euler-Bernoulli or Entringer numbers. A10094

Expansion of x*(125 + 8028·x + 42237·x² + 42272·x³ + 8007·x⁴ + 132·x⁵ - x⁶) / (1 - x)⁸. A317981

Half the difference between the larger and smaller term of the n-th amicable pair. A162884

Half the difference between the larger and smaller terms of the n-th amicable pair (x,y) given in A259933. A275470

Triangle in which rows are permutations of the rows of A008282. A64192

Number of unbalanced partitions of n: the largest part is not equal to the number of parts. A236634

The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0). A236935

Indices where A092243 strictly changes sign. A269737

Column of Kempner tableau. A5438