Properties of the Number 78048

Seventy-Eight Thousand Forty-Eight

Basics

Value: 78047 → 78048 → 78049

Parity: even

Prime: No

Previous Prime: 78041

Next Prime: 78049

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 271

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000011100000

Octal: 230340

Duodecimal: 39200

Hexadecimal: 130e0

Square: 6091490304

Square Root: 279.3707214437476

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

Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers. A108926

Numbers n such that n·x/(x-1) produces a rotation of the digits in n for some value of x. A288669

Number of possible states when placing n tokens of 2 alternating types on 2 piles. A320452

Dimension of space of equivariant linear maps from R^n³ to R^n³ under diagonal action of {-1, 1}ⁿ. A370649

θ series of P_9a packing. A5951

a(n) = A074639(A074645(n)). A74646

Numbers n such that n * (x-1)/x produces a rotation of the digits in n for some value of x. A288626

Expansion of (1-x)/(1+x+2·x²-2·x³). A78048

a(n) is the least integer b such that the fractions (b⁰)/p, (b¹)/p, ..., (b^r-1)/p where p is the n-th prime, produce the A006556(n) distinct cycles. A334904