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57315141 = 3313283577
BaseRepresentation
bin1101101010100…
…0111101000101
310222211220121000
43122220331011
5104133041031
65404243513
71264112352
oct332507505
9128756530
1057315141
112a397794
1217240599
13bb49bb0
14787d629
1550723e6
hex36a8f45

57315141 has 32 divisors (see below), whose sum is σ = 91925120. Its totient is φ = 35085312.

The previous prime is 57315127. The next prime is 57315151. The reversal of 57315141 is 14151375.

57315141 is a `hidden beast` number, since 573 + 1 + 51 + 41 = 666.

It is not a de Polignac number, because 57315141 - 211 = 57313093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57315151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99045 + ... + 99621.

It is an arithmetic number, because the mean of its divisors is an integer number (2872660).

Almost surely, 257315141 is an apocalyptic number.

It is an amenable number.

57315141 is a deficient number, since it is larger than the sum of its proper divisors (34609979).

57315141 is a wasteful number, since it uses less digits than its factorization.

57315141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 57315141 is about 7570.6763898611. The cubic root of 57315141 is about 385.5580617780.

The spelling of 57315141 in words is "fifty-seven million, three hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 283 351 577 849 1731 2547 3679 5193 7501 7641 11037 15579 22503 33111 67509 99333 163291 202527 489873 1469619 2122783 4408857 6368349 19105047 57315141