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57000133 = 17191091619
BaseRepresentation
bin1101100101110…
…0000011000101
310222020220111001
43121130003011
5104043001013
65353413301
71261331101
oct331340305
9128226431
1057000133
112a1a2053
121710a231
13ba696b8
1477da901
15500dddd
hex365c0c5

57000133 has 16 divisors (see below), whose sum is σ = 64152000. Its totient is φ = 50326272.

The previous prime is 57000131. The next prime is 57000137. The reversal of 57000133 is 33100075.

It is a cyclic number.

It is not a de Polignac number, because 57000133 - 21 = 57000131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

57000133 is a modest number, since divided by 133 gives 57 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 57000133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34398 + ... + 36016.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 257000133 is an apocalyptic number.

It is an amenable number.

57000133 is a deficient number, since it is larger than the sum of its proper divisors (7151867).

57000133 is a wasteful number, since it uses less digits than its factorization.

57000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 57000133 is about 7549.8432434058. The cubic root of 57000133 is about 384.8504124553.

The spelling of 57000133 in words is "fifty-seven million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 17 19 109 323 1619 1853 2071 27523 30761 35207 176471 522937 3000007 3352949 57000133