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57057309 = 3253119617
BaseRepresentation
bin1101100110101…
…0000000011101
310222100210220200
43121222000131
5104101313214
65354534113
71261656561
oct331520035
9128323820
1057057309
112a231001
1217137339
13ba8972a
1478136a1
155020d09
hex366a01d

57057309 has 12 divisors (see below), whose sum is σ = 83971836. Its totient is φ = 37320192.

The previous prime is 57057283. The next prime is 57057317. The reversal of 57057309 is 90375075.

57057309 is a `hidden beast` number, since 570 + 57 + 30 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36942084 + 20115225 = 6078^2 + 4485^2 .

It is not a de Polignac number, because 57057309 - 211 = 57055261 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57057359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59332 + ... + 60285.

It is an arithmetic number, because the mean of its divisors is an integer number (6997653).

Almost surely, 257057309 is an apocalyptic number.

It is an amenable number.

57057309 is a deficient number, since it is larger than the sum of its proper divisors (26914527).

57057309 is a wasteful number, since it uses less digits than its factorization.

57057309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119676 (or 119673 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 57057309 is about 7553.6288630035. The cubic root of 57057309 is about 384.9790487278.

The spelling of 57057309 in words is "fifty-seven million, fifty-seven thousand, three hundred nine".

Divisors: 1 3 9 53 159 477 119617 358851 1076553 6339701 19019103 57057309