Properties of the Number 29392

Twenty-Nine Thousand Three Hundred Ninety-Two

Basics

Value: 29391 → 29392 → 29393

Parity: even

Prime: No

Previous Prime: 29389

Next Prime: 29399

Digit Sum: 25

Digital Root: 7

Palindrome: Yes

Factorization: 2 ⁴ × 11 × 167

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011010000

Octal: 71320

Duodecimal: 15014

Hexadecimal: 72d0

Square: 863889664

Square Root: 171.44095193389472

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 A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component by 1 such that for each point (p₁,p₂,...,p_k) we have abs(p_i-p_i+1) <= 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A227655

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+x+sqrt(5·x²-6·x+1))), (1-3·x-sqrt(5·x²-6·x+1))/(2x) ). A373746

Number of partitions of n having no parts with multiplicity 8. A184643

Solution to the non-squashing boxes problem (version 1). A89054

a(n) = n*(n+1)*(5·n+7)/6. A162148

Sum of the third largest parts in the partitions of n into 7 parts. A308931

∏_n>=1 1 / (1 - a(n)*xⁿ/n!) = 1 + sin(x). A353873

Palindromes with exactly 6 prime factors (counted with multiplicity). A46332

The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225972

Binomial transform of A000957. A138415