Properties of the Number 42768

Forty-Two Thousand Seven Hundred Sixty-Eight

Basics

Value: 42767 → 42768 → 42769

Parity: even

Prime: No

Previous Prime: 42767

Next Prime: 42773

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁵ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011100010000

Octal: 123420

Duodecimal: 20900

Hexadecimal: a710

Square: 1829101824

Square Root: 206.80425527536903

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 with an even number of prime factors (counted with multiplicity) that can be factored into squarefree semiprimes (A320911) but cannot be factored into distinct semiprimes (A320892). A320893

Zeroless factorials: a(0)=1; thereafter a(n) = noz(n·a(n-1)), where noz(n) = A004719(n) omits the zeros from n. A243657

Numbers that are the sum of 3 nonzero 4th powers in more than one way. A309762

Numbers that are the sum of three fourth powers in exactly two ways. A344192

Triangle T(n, k) = 2·n*binomial(2·n-k, k)*(n-k)!/(2·n-k), with T(0, 0) = 2, read by rows. A156995

Numbers n that form a Pythagorean quadruple with n', n'' and sqrt(n² + n'² + n''²), where n' and n'' are the first and the second arithmetic derivative of n. A230543

Lower triangular array called S1hat(3) related to partition number array A144880. A144881

Numbers with prime factorization pq^4r^5. A190468

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant = 0 (mod 3). A211033

Values of z in positive integer solutions of x² + y⁵ = z³, listed in increasing order of z. A70067