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57121605 = 345141041
BaseRepresentation
bin1101100111100…
…1101101000101
310222111002010000
43121321231011
5104110342410
65400151513
71262345202
oct331715505
9128432100
1057121605
112a275342
1217168599
13baaca88
14782cca9
155034dc0
hex3679b45

57121605 has 20 divisors (see below), whose sum is σ = 102396492. Its totient is φ = 30464640.

The previous prime is 57121601. The next prime is 57121607. The reversal of 57121605 is 50612175.

57121605 is a `hidden beast` number, since 57 + 1 + 2 + 1 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 50680161 = 2538^2 + 7119^2 .

It is not a de Polignac number, because 57121605 - 22 = 57121601 is a prime.

It is a super-3 number, since 3×571216053 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57121601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70116 + ... + 70925.

Almost surely, 257121605 is an apocalyptic number.

It is an amenable number.

57121605 is a deficient number, since it is larger than the sum of its proper divisors (45274887).

57121605 is a wasteful number, since it uses less digits than its factorization.

57121605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141058 (or 141049 counting only the distinct ones).

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

The square root of 57121605 is about 7557.8836323405. The cubic root of 57121605 is about 385.1236011759.

The spelling of 57121605 in words is "fifty-seven million, one hundred twenty-one thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 141041 423123 705205 1269369 2115615 3808107 6346845 11424321 19040535 57121605