Search a number
-
+
56601432 = 233217131353
BaseRepresentation
bin1101011111101…
…0101101011000
310221111122120100
43113322231120
5103442221212
65341055400
71255050516
oct327725530
9127448510
1056601432
1129a4a548
1216b57560
13b95a094
1477354b6
154e80bdc
hex35fab58

56601432 has 96 divisors (see below), whose sum is σ = 164015280. Its totient is φ = 17571840.

The previous prime is 56601431. The next prime is 56601439. The reversal of 56601432 is 23410665.

56601432 is a `hidden beast` number, since 56 + 601 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56601396 and 56601405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56601431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160168 + ... + 160520.

Almost surely, 256601432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56601432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82007640).

56601432 is an abundant number, since it is smaller than the sum of its proper divisors (107413848).

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

56601432 is a wasteful number, since it uses less digits than its factorization.

56601432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56601432 is about 7523.3923199578. The cubic root of 56601432 is about 383.9510028630.

The spelling of 56601432 in words is "fifty-six million, six hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 131 136 153 204 262 306 353 393 408 524 612 706 786 1048 1059 1179 1224 1412 1572 2118 2227 2358 2824 3144 3177 4236 4454 4716 6001 6354 6681 8472 8908 9432 12002 12708 13362 17816 18003 20043 24004 25416 26724 36006 40086 46243 48008 53448 54009 72012 80172 92486 108018 138729 144024 160344 184972 216036 277458 369944 416187 432072 554916 786131 832374 1109832 1572262 1664748 2358393 3144524 3329496 4716786 6289048 7075179 9433572 14150358 18867144 28300716 56601432