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57125568 = 2631132633
BaseRepresentation
bin1101100111101…
…0101011000000
310222111021112210
43121322223000
5104111004233
65400222120
71262362563
oct331725300
9128437483
1057125568
112a278315
121716a940
13bab1816
1478304da
155036163
hex367aac0

57125568 has 56 divisors (see below), whose sum is σ = 152540208. Its totient is φ = 18866176.

The previous prime is 57125567. The next prime is 57125623. The reversal of 57125568 is 86552175.

57125568 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 (57125567) 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, 20380 + ... + 23012.

Almost surely, 257125568 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 57125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76270104).

57125568 is an abundant number, since it is smaller than the sum of its proper divisors (95414640).

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

57125568 is a wasteful number, since it uses less digits than its factorization.

57125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2751 counting only the distinct ones).

The product of its digits is 84000, while the sum is 39.

The square root of 57125568 is about 7558.1458043623. The cubic root of 57125568 is about 385.1325073772.

The spelling of 57125568 in words is "fifty-seven million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2633 2712 3616 5266 5424 7232 7899 10532 10848 15798 21064 21696 31596 42128 63192 84256 126384 168512 252768 297529 505536 595058 892587 1190116 1785174 2380232 3570348 4760464 7140696 9520928 14281392 19041856 28562784 57125568