Properties of the Number 19648

Nineteen Thousand Six Hundred Forty-Eight

Basics

Value: 19647 → 19648 → 19649

Parity: even

Prime: No

Previous Prime: 19609

Next Prime: 19661

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 307

Divisors: 1, 2, 4, 8, 16, 32, 64, 307, 614, 1228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110011000000

Octal: 46300

Duodecimal: B454

Hexadecimal: 4cc0

Square: 386043904

Square Root: 140.17132374348185

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

Numbers n such that sopf(n) = sopf(n+1) - sopf(n-1), where sopf(x) = sum of the distinct prime factors of x. A76525

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844

Antidiagonal sums of square array A158825, in which row n lists the coefficients of the n-th iteration of x·C(x), where C(x) is the Catalan function (A000108). A158829

Number of 2 X 2 matrices with all elements in {0,1,...,n} and positive even determinant. A210372

Expansion of ∏_m>=1 (1 + q^m)⁴⁸. A25233

Number of points of L1 norm 2n in Hamming code version of E₈ lattice. A10368

Number of ways to place 7n nonattacking kings on a 14 X 2n cylindrical chessboard. A195004

Number of ways to place 3n nonattacking kings on a vertical cylinder 6 X 2n. A195591

Triangle T(n,k), n>=1, 0<=k<=A000041(n), read by rows: row n gives the coefficients of the chromatic polynomial of the ranked poset L(n) of partitions of n, highest powers first. A213597

Three-column table read by rows: row n gives [number of triangle-triangle, triangle-quadrilateral, quadrilateral-quadrilateral] contacts for a row of n adjacent congruent rectangles divided by drawing diagonals of all possible rectangles (cf. A331452). A336731