Properties of the Number 48698

Forty-Eight Thousand Six Hundred Ninety-Eight

Basics

Value: 48697 → 48698 → 48699

Parity: even

Prime: No

Previous Prime: 48679

Next Prime: 48731

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 1873

Divisors: 1, 2, 13, 26, 1873, 3746, 24349, 48698

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111000111010

Octal: 137072

Duodecimal: 24222

Hexadecimal: be3a

Square: 2371495204

Square Root: 220.6762334280699

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 subsets of {1..n} containing no sums or products of pairs of elements. A326495

a(n) = n*(5·n² - 3·n + 4) / 6. A203552

Main diagonal of square table A322200. A322201

a(n) = 3·a(n-1) - a(n-2) + a(n-3) with a(0)=1, a(1)=2, a(2)=5. A202207

Numbers k that divide 9^k + 7^k. A45605

L.g.f.: L(x,y) = log( ∏_n>=1 1/(1 - (xⁿ + yⁿ)) ), where L(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k / (n+k) such that L(0,0) = 0, as a symmetric square table of coefficients T(n,k) read by antidiagonals starting with T(0,0) = 0. A322200

Nonprime numbers k such that sum of aliquot divisors of k is a cube. A48698

a(n) is the coefficient of xⁿ*yⁿ/n in log( ∏_n>=1 1/(1 - x^2·n-1 - y^2·n-1) ), for n >= 1. A322187

G.f.: exp( ∑_n>=1 A322201(n)*xⁿ/n ), where A322201(n) is the coefficient of xⁿ*yⁿ/(2·n) in ∑_n>=1 -log(1 - (xⁿ + yⁿ)). A322202