Properties of the Number 42778

Forty-Two Thousand Seven Hundred Seventy-Eight

Basics

Value: 42777 → 42778 → 42779

Parity: even

Prime: No

Previous Prime: 42773

Next Prime: 42787

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 73 × 293

Divisors: 1, 2, 73, 146, 293, 586, 21389, 42778

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011100011010

Octal: 123432

Duodecimal: 2090A

Hexadecimal: a71a

Square: 1829957284

Square Root: 206.82843131445927

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

Number of semi-sums of integer partitions of n. A366738

Primitive numbers in A229307. A229311

Triangular numbers which are the sum of two squares. A73613

Numbers k with the property that the symmetric representation of σ(k) has four parts, each of width one and two regions meet at the center of the Dyck path. A264104

Triangular numbers with sum of digits = 28. A68132

Triangular numbers with palindromic indices. A89717

Number of length n 1..(2+2) arrays with no leading partial sum equal to a prime and no consecutive values equal. A255710

Triangular numbers that in base 2 have the same number of 0's and 1's. A345348

Min{m: n = Sum((m mod (1+k·L(n)!))*2^k-1: 1<=k<=L(n))}, where L(n) = length of binary representation of n, cf. A070939, A000142. A94096

Triangular numbers n with digits d₁, d₂, ..., d_k such that d₁*(d₁+1)/2 + ... + d_k*(d_k+1)/2 is a triangular number. A254957