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57385349 = 743190649
BaseRepresentation
bin1101101011101…
…0000110000101
310222222110220022
43122322012011
5104142312344
65405544525
71264524140
oct332720605
9128873808
1057385349
112a43550a
1217275145
13bb72b38
14789b057
1550880ee
hex36ba185

57385349 has 8 divisors (see below), whose sum is σ = 67108800. Its totient is φ = 48043296.

The previous prime is 57385267. The next prime is 57385351. The reversal of 57385349 is 94358375.

57385349 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 57385349 - 28 = 57385093 is a prime.

It is a super-3 number, since 3×573853493 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57385369) 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, 95024 + ... + 95625.

It is an arithmetic number, because the mean of its divisors is an integer number (8388600).

Almost surely, 257385349 is an apocalyptic number.

It is an amenable number.

57385349 is a deficient number, since it is larger than the sum of its proper divisors (9723451).

57385349 is a wasteful number, since it uses less digits than its factorization.

57385349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190699.

The product of its digits is 453600, while the sum is 44.

The square root of 57385349 is about 7575.3118087640. The cubic root of 57385349 is about 385.7154269154.

The spelling of 57385349 in words is "fifty-seven million, three hundred eighty-five thousand, three hundred forty-nine".

Divisors: 1 7 43 301 190649 1334543 8197907 57385349