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57976401 = 372760781
BaseRepresentation
bin1101110100101…
…0011001010001
311001002111200010
43131022121101
5104320221101
65430345133
71302535260
oct335123121
9131074603
1057976401
112a7a958a
12174bb1a9
13c01bb82
1479b25d7
1551532d6
hex374a651

57976401 has 8 divisors (see below), whose sum is σ = 88345024. Its totient is φ = 33129360.

The previous prime is 57976361. The next prime is 57976421. The reversal of 57976401 is 10467975.

57976401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57976401 - 211 = 57974353 is a prime.

It is a super-2 number, since 2×579764012 = 6722526145825602, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57976401.

It is not an unprimeable number, because it can be changed into a prime (57976421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1380370 + ... + 1380411.

It is an arithmetic number, because the mean of its divisors is an integer number (11043128).

Almost surely, 257976401 is an apocalyptic number.

It is an amenable number.

57976401 is a deficient number, since it is larger than the sum of its proper divisors (30368623).

57976401 is a wasteful number, since it uses less digits than its factorization.

57976401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760791.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 57976401 is about 7614.2235979777. The cubic root of 57976401 is about 387.0351576203.

The spelling of 57976401 in words is "fifty-seven million, nine hundred seventy-six thousand, four hundred one".

Divisors: 1 3 7 21 2760781 8282343 19325467 57976401