Search a number
-
+
56654934 = 23723223263
BaseRepresentation
bin1101100000011…
…1110001010110
310221121100221220
43120013301112
5104000424214
65342151210
71255362510
oct330076126
9127540856
1056654934
1129a86766
1216b82506
13b97853b
14774abb0
154e919a9
hex3607c56

56654934 has 64 divisors (see below), whose sum is σ = 136249344. Its totient is φ = 15355296.

The previous prime is 56654921. The next prime is 56654959. The reversal of 56654934 is 43945665.

56654934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215287 + ... + 215549.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 256654934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56654934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68124672).

56654934 is an abundant number, since it is smaller than the sum of its proper divisors (79594410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56654934 is a wasteful number, since it uses less digits than its factorization.

56654934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its digits is 388800, while the sum is 42.

The square root of 56654934 is about 7526.9471899303. The cubic root of 56654934 is about 384.0719401891.

The spelling of 56654934 in words is "fifty-six million, six hundred fifty-four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 223 263 322 446 483 526 669 789 966 1338 1561 1578 1841 3122 3682 4683 5129 5523 6049 9366 10258 11046 12098 15387 18147 30774 35903 36294 42343 58649 71806 84686 107709 117298 127029 175947 215418 254058 351894 410543 821086 1231629 1348927 2463258 2697854 4046781 8093562 9442489 18884978 28327467 56654934