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56968224 = 2531767521
BaseRepresentation
bin1101100101010…
…0010000100000
310222012021201020
43121110100200
5104040440344
65353005440
71261136055
oct331242040
9128167636
1056968224
112a180085
12170b3880
13ba58011
1477cd02c
155004719
hex3654420

56968224 has 96 divisors (see below), whose sum is σ = 161009856. Its totient is φ = 17571840.

The previous prime is 56968193. The next prime is 56968231. The reversal of 56968224 is 42286965.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109084 + ... + 109604.

It is an arithmetic number, because the mean of its divisors is an integer number (1677186).

Almost surely, 256968224 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 56968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80504928).

56968224 is an abundant number, since it is smaller than the sum of its proper divisors (104041632).

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

56968224 is a wasteful number, since it uses less digits than its factorization.

56968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 56968224 is about 7547.7297248908. The cubic root of 56968224 is about 384.7785852309.

The spelling of 56968224 in words is "fifty-six million, nine hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 521 536 544 804 816 1042 1072 1139 1563 1608 1632 2084 2144 2278 3126 3216 3417 4168 4556 6252 6432 6834 8336 8857 9112 12504 13668 16672 17714 18224 25008 26571 27336 34907 35428 36448 50016 53142 54672 69814 70856 104721 106284 109344 139628 141712 209442 212568 279256 283424 418884 425136 558512 593419 837768 850272 1117024 1186838 1675536 1780257 2373676 3351072 3560514 4747352 7121028 9494704 14242056 18989408 28484112 56968224