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56427920 = 2452233163
BaseRepresentation
bin1101011101000…
…0010110010000
310221011211112222
43113100112100
5103421143140
65333240212
71253425613
oct327202620
9127154488
1056427920
112994114a
1216a93068
13b8c9103
1476cc17a
154e495b5
hex35d0590

56427920 has 40 divisors (see below), whose sum is σ = 131824896. Its totient is φ = 22462848.

The previous prime is 56427919. The next prime is 56427949. The reversal of 56427920 is 2972465.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×564279202 = 6368220311052800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16259 + ... + 19421.

Almost surely, 256427920 is an apocalyptic number.

It is an amenable number.

56427920 is an abundant number, since it is smaller than the sum of its proper divisors (75396976).

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

56427920 is a wasteful number, since it uses less digits than its factorization.

56427920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 56427920 is about 7511.8519687225. The cubic root of 56427920 is about 383.5582666430.

The spelling of 56427920 in words is "fifty-six million, four hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3163 3568 4460 6326 8920 12652 15815 17840 25304 31630 50608 63260 126520 253040 705349 1410698 2821396 3526745 5642792 7053490 11285584 14106980 28213960 56427920