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57957057 = 3259109147
BaseRepresentation
bin1101110100010…
…1101011000001
311001001112010200
43131011223001
5104314111212
65430115413
71302425004
oct335055301
9131045120
1057957057
112a795aa4
12174abb69
13c013122
1479a953b
15514c6dc
hex3745ac1

57957057 has 12 divisors (see below), whose sum is σ = 85135440. Its totient is φ = 37982808.

The previous prime is 57957019. The next prime is 57957061. The reversal of 57957057 is 75075975.

57957057 is a `hidden beast` number, since 5 + 79 + 570 + 5 + 7 = 666.

57957057 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 57957057 - 27 = 57956929 is a prime.

It is a super-2 number, since 2×579570572 = 6718040912202498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57957017) 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, 54043 + ... + 55104.

It is an arithmetic number, because the mean of its divisors is an integer number (7094620).

Almost surely, 257957057 is an apocalyptic number.

It is an amenable number.

57957057 is a deficient number, since it is larger than the sum of its proper divisors (27178383).

57957057 is a wasteful number, since it uses less digits than its factorization.

57957057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109212 (or 109209 counting only the distinct ones).

The product of its (nonzero) digits is 385875, while the sum is 45.

The square root of 57957057 is about 7612.9532377390. The cubic root of 57957057 is about 386.9921076851.

The spelling of 57957057 in words is "fifty-seven million, nine hundred fifty-seven thousand, fifty-seven".

Divisors: 1 3 9 59 177 531 109147 327441 982323 6439673 19319019 57957057