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57133640 = 2359711471
BaseRepresentation
bin1101100111110…
…0101001001000
310222111200121202
43121330221020
5104111234030
65400323332
71262425244
oct331745110
9128450552
1057133640
112a283393
1217173548
13bab53b5
147833424
155038745
hex367ca48

57133640 has 32 divisors (see below), whose sum is σ = 128770560. Its totient is φ = 22814400.

The previous prime is 57133607. The next prime is 57133649. The reversal of 57133640 is 4633175.

57133640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57133649) 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 7 ways as a sum of consecutive naturals, for example, 38105 + ... + 39575.

It is an arithmetic number, because the mean of its divisors is an integer number (4024080).

Almost surely, 257133640 is an apocalyptic number.

It is an amenable number.

57133640 is an abundant number, since it is smaller than the sum of its proper divisors (71636920).

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

57133640 is a wasteful number, since it uses less digits than its factorization.

57133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 57133640 is about 7558.6797789032. The cubic root of 57133640 is about 385.1506466173.

The spelling of 57133640 in words is "fifty-seven million, one hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 971 1471 1942 2942 3884 4855 5884 7355 7768 9710 11768 14710 19420 29420 38840 58840 1428341 2856682 5713364 7141705 11426728 14283410 28566820 57133640