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56189133 = 367211213
BaseRepresentation
bin1101011001011…
…0000011001101
310220201201000000
43112112003031
5103341023013
65324154513
71251412500
oct326260315
9126651000
1056189133
1129798800
1216998a39
13b844510
147669137
154ded973
hex35960cd

56189133 has 126 divisors (see below), whose sum is σ = 116004462. Its totient is φ = 26943840.

The previous prime is 56189123. The next prime is 56189141. The reversal of 56189133 is 33198165.

It is a happy number.

56189133 is a `hidden beast` number, since 5 + 618 + 9 + 1 + 33 = 666.

56189133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38900169 + 17288964 = 6237^2 + 4158^2 .

It is not a de Polignac number, because 56189133 - 25 = 56189101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56189123) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 4322235 + ... + 4322247.

Almost surely, 256189133 is an apocalyptic number.

It is an amenable number.

56189133 is an abundant number, since it is smaller than the sum of its proper divisors (59815329).

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

56189133 is a wasteful number, since it uses less digits than its factorization.

56189133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 56189133 is about 7495.9411016896. The cubic root of 56189133 is about 383.0164649667.

The spelling of 56189133 in words is "fifty-six million, one hundred eighty-nine thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 81 91 99 117 121 143 147 189 231 243 273 297 351 363 429 441 539 567 637 693 729 819 847 891 1001 1053 1089 1287 1323 1573 1617 1701 1911 2079 2457 2541 2673 3003 3159 3267 3861 3969 4719 4851 5103 5733 5929 6237 7007 7371 7623 8019 9009 9477 9801 11011 11583 11907 14157 14553 17199 17787 18711 21021 22113 22869 27027 29403 33033 34749 35721 42471 43659 51597 53361 56133 63063 66339 68607 77077 81081 88209 99099 104247 127413 130977 154791 160083 189189 205821 231231 243243 297297 382239 392931 464373 480249 567567 617463 693693 729729 891891 1146717 1440747 1702701 2081079 2675673 4322241 5108103 6243237 8027019 18729711 56189133