Properties of the Number 48015

Forty-Eight Thousand Fifteen

Basics

Value: 48014 → 48015 → 48016

Parity: odd

Prime: No

Previous Prime: 47981

Next Prime: 48017

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 97

Divisors: 1, 3, 5, 9, 11, 15, 33, 45, 55, 97

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110001111

Octal: 135617

Duodecimal: 23953

Hexadecimal: bb8f

Square: 2305440225

Square Root: 219.12325298790176

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

Denominators of continued fraction convergents to sqrt(96). A41173

Numerators of continued fraction convergents to sqrt(273). A41512

Denominators of continued fraction convergents to sqrt(384). A41729

Integers n > 1 such that A130280(4n²) < n, i.e., there is an m < n, m > 1 such that 4n²(m² - 1) + 1 is a square. A130281

Numbers k whose decimal representation, read as a base-19 value and divided by k, yields an integer. A32569

Let a(0)=1. Then a(n) = sums of consecutive strings of positive integers of length 3·n, starting with the integer 2. A289721

Numbers whose base-6 representation has exactly 7 runs. A43615

Numbers n equal to the sum of all the four-digit numbers formed without repetition from the digits of n. A241946

Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-1)/3. A48015

a(n)=(1/(3n))*sum(k=1,n,F(8k)*B(2n-2k)*binomial(2n,2k)) where F=Fibonacci numbers and B=Bernoulli numbers. A124126

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