Search a number
-
+
56552652 = 223213149811
BaseRepresentation
bin1101011110111…
…0110011001100
310221102011122200
43113232303030
5103434141102
65340041500
71254455352
oct327566314
9127364580
1056552652
1129a16932
1216b33290
13b940b10
1477217d2
154e7151c
hex35eeccc

56552652 has 72 divisors (see below), whose sum is σ = 155173200. Its totient is φ = 17262720.

The previous prime is 56552651. The next prime is 56552669. The reversal of 56552652 is 25625565.

56552652 is a `hidden beast` number, since 56 + 552 + 6 + 52 = 666.

56552652 is digitally balanced in base 9, 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 (36).

56552652 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (56552651) 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, 69327 + ... + 70137.

Almost surely, 256552652 is an apocalyptic number.

56552652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56552652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586600).

56552652 is an abundant number, since it is smaller than the sum of its proper divisors (98620548).

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

56552652 is a wasteful number, since it uses less digits than its factorization.

56552652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 56552652 is about 7520.1497325519. The cubic root of 56552652 is about 383.8406728343.

The spelling of 56552652 in words is "fifty-six million, five hundred fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 811 894 1341 1622 1788 1937 2433 2682 3244 3874 4866 5364 5811 7299 7748 9732 10543 11622 14598 17433 21086 23244 29196 31629 34866 42172 63258 69732 94887 120839 126516 189774 241678 362517 379548 483356 725034 1087551 1450068 1570907 2175102 3141814 4350204 4712721 6283628 9425442 14138163 18850884 28276326 56552652