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57319041 = 3138531723
BaseRepresentation
bin1101101010100…
…1111010000001
310222212002221110
43122221322001
5104133202131
65404313533
71264126623
oct332517201
9128762843
1057319041
112a39a70a
12172428a9
13bb4b8c0
147880c13
155073646
hex36a9e81

57319041 has 16 divisors (see below), whose sum is σ = 82448576. Its totient is φ = 35211456.

The previous prime is 57319039. The next prime is 57319061. The reversal of 57319041 is 14091375.

57319041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57319041 - 21 = 57319039 is a prime.

It is a super-2 number, since 2×573190412 = 6570944922319362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57319021) 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 15 ways as a sum of consecutive naturals, for example, 32406 + ... + 34128.

It is an arithmetic number, because the mean of its divisors is an integer number (5153036).

Almost surely, 257319041 is an apocalyptic number.

It is an amenable number.

57319041 is a deficient number, since it is larger than the sum of its proper divisors (25129535).

57319041 is a wasteful number, since it uses less digits than its factorization.

57319041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57319041 is about 7570.9339582379. The cubic root of 57319041 is about 385.5668066595.

The spelling of 57319041 in words is "fifty-seven million, three hundred nineteen thousand, forty-one".

Divisors: 1 3 13 39 853 1723 2559 5169 11089 22399 33267 67197 1469719 4409157 19106347 57319041