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57391296 = 2632711103
BaseRepresentation
bin1101101011101…
…1100011000000
310222222210001120
43122323203000
5104143010141
65410032240
71264550364
oct332734300
9128883046
1057391296
112a439a26
1217278680
13bb75761
14789d2a4
155089c66
hex36bb8c0

57391296 has 56 divisors (see below), whose sum is σ = 152546304. Its totient is φ = 19042560.

The previous prime is 57391259. The next prime is 57391297. The reversal of 57391296 is 69219375.

57391296 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 (57391297) 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, 51481 + ... + 52583.

Almost surely, 257391296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76273152).

57391296 is an abundant number, since it is smaller than the sum of its proper divisors (95155008).

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

57391296 is a wasteful number, since it uses less digits than its factorization.

57391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 57391296 is about 7575.7043236916. The cubic root of 57391296 is about 385.7287507019.

The spelling of 57391296 in words is "fifty-seven million, three hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1103 1626 2168 2206 3252 3309 4336 4412 6504 6618 8672 8824 13008 13236 17344 17648 26016 26472 35296 52032 52944 70592 105888 211776 298913 597826 896739 1195652 1793478 2391304 3586956 4782608 7173912 9565216 14347824 19130432 28695648 57391296