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56565252 = 223247101331
BaseRepresentation
bin1101011111000…
…1111000000100
310221102210221100
43113301320010
5103440042002
65340220100
71254540162
oct327617004
9127383840
1056565252
1129a25347
1216b3a630
13b946783
147726232
154e7511c
hex35f1e04

56565252 has 72 divisors (see below), whose sum is σ = 147917952. Its totient is φ = 18216000.

The previous prime is 56565241. The next prime is 56565263. The reversal of 56565252 is 25256565.

56565252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56565241) and next prime (56565263).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 170727 + ... + 171057.

It is an arithmetic number, because the mean of its divisors is an integer number (2054416).

Almost surely, 256565252 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 56565252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958976).

56565252 is an abundant number, since it is smaller than the sum of its proper divisors (91352700).

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

56565252 is a wasteful number, since it uses less digits than its factorization.

56565252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

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

The square root of 56565252 is about 7520.9874351710. The cubic root of 56565252 is about 383.8691774412.

The spelling of 56565252 in words is "fifty-six million, five hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 202 282 303 331 404 423 564 606 662 846 909 993 1212 1324 1692 1818 1986 2979 3636 3972 4747 5958 9494 11916 14241 15557 18988 28482 31114 33431 42723 46671 56964 62228 66862 85446 93342 100293 133724 140013 170892 186684 200586 280026 300879 401172 560052 601758 1203516 1571257 3142514 4713771 6285028 9427542 14141313 18855084 28282626 56565252