Search a number
-
+
56656665 = 3551317211
BaseRepresentation
bin1101100000100…
…0001100011001
310221121110100000
43120020030121
5104001003130
65342203213
71255400532
oct330101431
9127543300
1056656665
1129a87a9a
1216b83509
13b979270
14774b689
154e92260
hex3608319

56656665 has 96 divisors (see below), whose sum is σ = 116678016. Its totient is φ = 26127360.

The previous prime is 56656643. The next prime is 56656673. The reversal of 56656665 is 56665665.

It is not a de Polignac number, because 56656665 - 28 = 56656409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56656665.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268410 + ... + 268620.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396).

Almost surely, 256656665 is an apocalyptic number.

It is an amenable number.

56656665 is an abundant number, since it is smaller than the sum of its proper divisors (60021351).

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

56656665 is a wasteful number, since it uses less digits than its factorization.

56656665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 56656665 is about 7527.0621759090. The cubic root of 56656665 is about 384.0758517152.

The spelling of 56656665 in words is "fifty-six million, six hundred fifty-six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 211 221 243 255 351 405 459 585 633 663 765 1053 1055 1105 1215 1377 1755 1899 1989 2295 2743 3159 3165 3315 3587 4131 5265 5697 5967 6885 8229 9495 9945 10761 13715 15795 17091 17901 17935 20655 24687 28485 29835 32283 41145 46631 51273 53703 53805 74061 85455 89505 96849 123435 139893 161415 222183 233155 256365 268515 290547 370305 419679 484245 666549 699465 871641 1110915 1259037 1452735 2098395 3332745 3777111 4358205 6295185 11331333 18885555 56656665