Properties of the Number 19529

Nineteen Thousand Five Hundred Twenty-Nine

Basics

Value: 19528 → 19529 → 19530

Parity: odd

Prime: No

Previous Prime: 19507

Next Prime: 19531

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 59 × 331

Divisors: 1, 59, 331, 19529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110001001001

Octal: 46111

Duodecimal: B375

Hexadecimal: 4c49

Square: 381381841

Square Root: 139.74619851716898

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 non-isomorphic hypertrees of weight n. A304867

Number of integer partitions of n whose run-lengths are not unimodal. A332281

Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers. A69755

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252201

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252194

Number of 6 X n binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266939

Sum of a(n) terms of 1/sqrt(k) first strictly exceeds n. A19529

Decimal expansion of 2^{2^(2^(2^(2²}))) = 2^⁶. A241291

T(n,k)=Number of nXk binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing. A266935

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero. A303727