Properties of the Number 48064

Forty-Eight Thousand Sixty-Four

Basics

Value: 48063 → 48064 → 48065

Parity: even

Prime: No

Previous Prime: 48049

Next Prime: 48073

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 751

Divisors: 1, 2, 4, 8, 16, 32, 64, 751, 1502, 3004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101111000000

Octal: 135700

Duodecimal: 23994

Hexadecimal: bbc0

Square: 2310148096

Square Root: 219.23503369671553

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

E.g.f.: A(x) satisfies: cos(A(x)) + sin(A(x)) = 1/(cos(x) - sin(x)). A318005

Expansion of e.g.f. arcsin(arctan(x) * exp(x)). A12410

E.g.f. A = A(x,m) satisfies: cn(A + x, m) + sn(A - x, m) = 1, where sn(x,m) and cn(x,m) are Jacobi elliptic functions with parameter m, as an irregular triangle of coefficients read by rows. A319145

E.g.f. A(x) satisfies: cos(A(x)) + sin(A(x)) = 1/( cos(A(-x)) + sin(A(-x)) ). A318006

G.f. A(x) satisfies: A(x) = ( A(-x) + sqrt( A(-x)² + 64·x/A(-x) ) )/2. A353325

G.f. A(x) satisfies: A(x) = ( ( A(-x)⁸ + sqrt( A(-x)¹⁶ + 64·x/A(-x)⁸ ) )/2 )^1/8 such that A(-x) = 2 - A(x). A353324

Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-4)/2. A48064