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56106652 = 22731371747
BaseRepresentation
bin1101011000000…
…1111010011100
310220120111212011
43112001322130
5103330403102
65322321004
71250620150
oct326017234
9126514764
1056106652
1129741838
1216959164
13b815b04
147647060
154dd42d7
hex3581e9c

56106652 has 48 divisors (see below), whose sum is σ = 119031808. Its totient is φ = 22628160.

The previous prime is 56106649. The next prime is 56106667. The reversal of 56106652 is 25660165.

56106652 is digitally balanced in base 2, 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 (31).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31243 + ... + 32989.

Almost surely, 256106652 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 56106652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59515904).

56106652 is an abundant number, since it is smaller than the sum of its proper divisors (62925156).

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

56106652 is a wasteful number, since it uses less digits than its factorization.

56106652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 56106652 is about 7490.4373704077. The cubic root of 56106652 is about 382.8289610259.

The spelling of 56106652 in words is "fifty-six million, one hundred six thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 37 62 74 124 148 217 259 434 518 868 1036 1147 1747 2294 3494 4588 6988 8029 12229 16058 24458 32116 48916 54157 64639 108314 129278 216628 258556 379099 452473 758198 904946 1516396 1809892 2003809 4007618 8015236 14026663 28053326 56106652