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57135408 = 24311108211
BaseRepresentation
bin1101100111110…
…1000100110000
310222111210001020
43121331010300
5104111313113
65400335440
71262433351
oct331750460
9128453036
1057135408
112a284750
1217174580
13bab6145
147833d28
155039023
hex367d130

57135408 has 40 divisors (see below), whose sum is σ = 161019456. Its totient is φ = 17313600.

The previous prime is 57135383. The next prime is 57135461. The reversal of 57135408 is 80453175.

57135408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53578 + ... + 54633.

Almost surely, 257135408 is an apocalyptic number.

It is an amenable number.

57135408 is an abundant number, since it is smaller than the sum of its proper divisors (103884048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57135408 is a wasteful number, since it uses less digits than its factorization.

57135408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108233 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 57135408 is about 7558.7967296389. The cubic root of 57135408 is about 385.1546194041.

The spelling of 57135408 in words is "fifty-seven million, one hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 108211 216422 324633 432844 649266 865688 1190321 1298532 1731376 2380642 2597064 3570963 4761284 5194128 7141926 9522568 14283852 19045136 28567704 57135408