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56113624 = 2372433329
BaseRepresentation
bin1101011000001…
…1100111011000
310220120212102101
43112003213120
5103331113444
65322413144
71250646400
oct326034730
9126525371
1056113624
1129746aa6
12169611b4
13b819038
147649800
154dd63d4
hex35839d8

56113624 has 48 divisors (see below), whose sum is σ = 125274600. Its totient is φ = 23482368.

The previous prime is 56113619. The next prime is 56113633. The reversal of 56113624 is 42631165.

56113624 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 56113592 and 56113601.

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 11 ways as a sum of consecutive naturals, for example, 15192 + ... + 18520.

Almost surely, 256113624 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 56113624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62637300).

56113624 is an abundant number, since it is smaller than the sum of its proper divisors (69160976).

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

56113624 is a wasteful number, since it uses less digits than its factorization.

56113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3381 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 56113624 is about 7490.9027493354. The cubic root of 56113624 is about 382.8448175709.

Adding to 56113624 its reverse (42631165), we get a palindrome (98744789).

The spelling of 56113624 in words is "fifty-six million, one hundred thirteen thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 1204 2107 2408 3329 4214 6658 8428 13316 16856 23303 26632 46606 93212 143147 163121 186424 286294 326242 572588 652484 1002029 1145176 1304968 2004058 4008116 7014203 8016232 14028406 28056812 56113624