Properties of the Number 40285

Forty Thousand Two Hundred Eighty-Five

Basics

Value: 40284 → 40285 → 40286

Parity: odd

Prime: No

Previous Prime: 40283

Next Prime: 40289

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 1151

Divisors: 1, 5, 7, 35, 1151, 5755, 8057, 40285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110101011101

Octal: 116535

Duodecimal: 1B391

Hexadecimal: 9d5d

Square: 1622881225

Square Root: 200.7112353606544

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 read by rows: number of permutation trees of power n and height <= k + 1. A179455

Expansion of 1/(x^k*(1-x-2·x^k+1)) for k=5. A143448

Number of permutations of {1,2,...,n} whose shortest block is of length 1. A block of a permutation is a maximal sequence of consecutive integers which appear in consecutive positions. For example, the permutation 5412367 has 4 blocks: 5, 4, 123, and 67. Its shortest block has length 1. A184181

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} whose shortest block is of length k (1 <= k <= n). A block of a permutation is a maximal sequence of consecutive integers which appear in consecutive positions. For example, the permutation 4512367 has 3 blocks: 45, 123, and 67. Its shortest block has length 2. A184180

Number of binary strings of length n with equal numbers of 0000 and 0011 substrings. A164149

Square array read by ascending antidiagonals, Bell numbers iterated by the Bell transform. A265312

Continued fraction for sqrt(303). A40285