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57685872 = 2432921429
BaseRepresentation
bin1101110000001…
…1011101110000
311000112202010210
43130003131300
5104231421442
65420224120
71300215246
oct334033560
9130482123
1057685872
112a620282
121739b040
13bc4986a
147938796
1550e719c
hex3703770

57685872 has 60 divisors (see below), whose sum is σ = 154445720. Its totient is φ = 18552576.

The previous prime is 57685853. The next prime is 57685877. The reversal of 57685872 is 27858675.

57685872 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57685877) 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 11 ways as a sum of consecutive naturals, for example, 39654 + ... + 41082.

Almost surely, 257685872 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 57685872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77222860).

57685872 is an abundant number, since it is smaller than the sum of its proper divisors (96759848).

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

57685872 is a wasteful number, since it uses less digits than its factorization.

57685872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1463 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 57685872 is about 7595.1215921801. The cubic root of 57685872 is about 386.3875763830.

The spelling of 57685872 in words is "fifty-seven million, six hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1429 1682 2523 2858 3364 4287 5046 5716 6728 8574 10092 11432 13456 17148 20184 22864 34296 40368 41441 68592 82882 124323 165764 248646 331528 497292 663056 994584 1201789 1989168 2403578 3605367 4807156 7210734 9614312 14421468 19228624 28842936 57685872