Properties of the Number 48096

Forty-Eight Thousand Ninety-Six

Basics

Value: 48095 → 48096 → 48097

Parity: even

Prime: No

Previous Prime: 48091

Next Prime: 48109

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 167

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101111100000

Octal: 135740

Duodecimal: 23A00

Hexadecimal: bbe0

Square: 2313225216

Square Root: 219.3080025899648

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

Square table, read by antidiagonals, where the g.f. for row n+1 is generated by: x·R_n+1(x) = (1+n·x - 1/R_n(x))/(n+1) with R₀(x) = ∑_n>=0 n!*xⁿ. A111528

Row 4 of table A111528. A111531

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+4 of T), or [T^p](m,0) = p·T(p+m,p+4) for all m>=1 and p>=-4. A111553

Triangle read by rows, 0 <= k < n, n >= 2: T(n,k) is the eventual period of the modified Fibonacci sequence x(j) (or 0 if x(j) never enters a cycle) defined as follows: x(0) = 0, x(1) = 1, and for j > 1 x(j) is obtained from x(j-1) + x(j-2) by deleting all occurrences of the digit k in base n. A306773

a(n) = n! (1/C(n,0) + 1/C(n,1) + ... + 1/C(n,[ n/2 ])). A24419

a(n) = 1458·n - 18. A157508

Lower triangular array called S1hat(1) related to partition number array A107106. A144351

Number of (n+1) X 7 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207048

n-th derivative of x^2·x at x=1. A265945

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207050