Search a number
-
+
56686674 = 231123107349
BaseRepresentation
bin1101100000111…
…1100001010010
310221122222111110
43120033201102
5104002433144
65342554150
71255554162
oct330174122
9127588443
1056686674
1129aa85a0
1216b98956
13b989b15
1477585a2
154e9b0b9
hex360f852

56686674 has 64 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 16230720.

The previous prime is 56686657. The next prime is 56686691. The reversal of 56686674 is 47668665.

It is an interprime number because it is at equal distance from previous prime (56686657) and next prime (56686691).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162252 + ... + 162600.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 256686674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56686674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

56686674 is an abundant number, since it is smaller than the sum of its proper divisors (73950126).

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

56686674 is a wasteful number, since it uses less digits than its factorization.

56686674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495.

The product of its digits is 1451520, while the sum is 48.

The square root of 56686674 is about 7529.0553192283. The cubic root of 56686674 is about 384.1436501399.

Subtracting from 56686674 its reverse (47668665), we obtain a square (9018009 = 30032).

The spelling of 56686674 in words is "fifty-six million, six hundred eighty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 107 138 214 253 321 349 506 642 698 759 1047 1177 1518 2094 2354 2461 3531 3839 4922 7062 7383 7678 8027 11517 14766 16054 23034 24081 27071 37343 48162 54142 74686 81213 88297 112029 162426 176594 224058 264891 410773 529782 821546 858889 1232319 1717778 2464638 2576667 5153334 9447779 18895558 28343337 56686674