Properties of the Number 47909

Forty-Seven Thousand Nine Hundred Nine

Basics

Value: 47908 → 47909 → 47910

Parity: odd

Prime: No

Previous Prime: 47903

Next Prime: 47911

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 23 × 2083

Divisors: 1, 23, 2083, 47909

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101100100101

Octal: 135445

Duodecimal: 23885

Hexadecimal: bb25

Square: 2295272281

Square Root: 218.8812463414808

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

Expansion of ∏_k>=1 (1+x^k)^p(k), where p(k) is the partition function. A261049

Gaps of 6 in sequence A038593 (lower terms). A38651

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, n)/gcd(x₁, x₂, x₃, n). A373060

a(n) = 29 + 73·n + 37·n². A145980

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>0. A211545

Number of 3-tuples of nonnegative integers less than p for which 3-argument multinomial coefficients support a Lucas congruence modulo p², where p is the n-th prime. A348885

Array read by antidiagonals upwards: h(n,k) = number of sequences with n copies each of 1,2,...,k and longest increasing subsequence of length k (n>=1, k>=1). A47909