Properties of the Number 48477

Forty-Eight Thousand Four Hundred Seventy-Seven

Basics

Value: 48476 → 48477 → 48478

Parity: odd

Prime: No

Previous Prime: 48473

Next Prime: 48479

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 13 × 113

Divisors: 1, 3, 11, 13, 33, 39, 113, 143, 339, 429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110101011101

Octal: 136535

Duodecimal: 24079

Hexadecimal: bd5d

Square: 2350019529

Square Root: 220.17493045303772

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

Let y=f(x) satisfy F(x,y)=0. a(n) is the number of terms in the expansion of (d/dx)ⁿ y in terms of the partial derivatives of F. A3262

Sum of the largest two parts in the partitions of 4n into 4 parts with smallest part equal to 1. A239186

Number of partitions p of n such that m(p) < m(c(p)), where m = maximal multiplicity of parts, and c = conjugate. A240726

Moebius transform of A001405 (binomial(n, floor(n/2))). A62791

Number of 7 up, 7 down permutations of [n]. A229888

Number of ordered ways of writing n² as a sum of n positive cubes. A298937

Numbers k such that 3·10^k + 13 is prime. A290473

Triangle T(n,m) = ∑_i=0..n-m C(2·m-1,n-i-1)*C(n-i-1,i)*C(n-i-1,n-m-i)/(2·m-1). A338022

a(n) = T(5,n), array T given by A048472. A48477