Properties of the Number -27648

Twenty-Seven Thousand Six Hundred Forty-Eight

Basics

Value: -27649 → -27648 → -27647

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ¹⁰ × 3 ³

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: -110110000000000

Octal: -66000

Duodecimal: -14000

Hexadecimal: -6c00

Square: 764411904

Square Root: 166.27687752661222

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as ∑_k=0..n T(n,k)*binomial(n,k). A244116

∏_n>=1 (1 + a(n)*xⁿ/n!) = 1 + arctan(x). A353820

∏_n>=1 1 / (1 - a(n)*xⁿ/n!) = 1 + arctan(x). A353915

Determinant of the n X n matrix whose element (i,j) equals |i-j| (mod 4). A71769

Expansion of 1/∑_k>=0 A000326(k+1)*x^k. A296775

Triangle read by rows. Row n gives the coefficients of ∏_k=0..n (x - k^k) expanded in decreasing powers of x, with row 0 = {1}. A349226

arctan(arcsin(x)*arcsin(x))=2/2!*x²+8/4!*x⁴-112/6!*x⁶-8832/8!*x⁸... A12343

Coefficient triangle of permutation-based polynomials: p(x,n)=Product[x - n!/(n - i)!, {i, 0, n}]. A158451

Hyperfactorials: ∏_{k = 1..n} k^k. A2109

a(n) = solution to the "Select All, Copy, Paste" problem: Given the ability to type a single letter, or to type individual "Select All", "Copy" or "Paste" command keystrokes, what is the maximal number of letters of text that can be obtained with n keystrokes? A178715