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57355331 = 1121727883
BaseRepresentation
bin1101101011001…
…0110001000011
310222220221201112
43122302301003
5104140332311
65405153535
71264340465
oct332626103
9128827645
1057355331
112a414a00
121725b8ab
13bb62287
147890135
15507e28b
hex36b2c43

57355331 has 12 divisors (see below), whose sum is σ = 66754296. Its totient is φ = 49072320.

The previous prime is 57355321. The next prime is 57355339. The reversal of 57355331 is 13355375.

57355331 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 57355331 - 26 = 57355267 is a prime.

It is a super-2 number, since 2×573553312 = 6579267988239122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57355339) 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 11 ways as a sum of consecutive naturals, for example, 11885 + ... + 15998.

It is an arithmetic number, because the mean of its divisors is an integer number (5562858).

Almost surely, 257355331 is an apocalyptic number.

57355331 is a deficient number, since it is larger than the sum of its proper divisors (9398965).

57355331 is a wasteful number, since it uses less digits than its factorization.

57355331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27922 (or 27911 counting only the distinct ones).

The product of its digits is 23625, while the sum is 32.

The square root of 57355331 is about 7573.3302450111. The cubic root of 57355331 is about 385.6481598903.

The spelling of 57355331 in words is "fifty-seven million, three hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 11 17 121 187 2057 27883 306713 474011 3373843 5214121 57355331