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57253728 = 253785199
BaseRepresentation
bin1101101001100…
…1111101100000
310222201210100110
43122121331200
5104124104403
65403051320
71263435330
oct332317540
9128653313
1057253728
112a355634
1217210b40
13bb27c5c
1478650c0
15505e103
hex3699f60

57253728 has 48 divisors (see below), whose sum is σ = 171763200. Its totient is φ = 16358016.

The previous prime is 57253723. The next prime is 57253741. The reversal of 57253728 is 82735275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57253723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41928 + ... + 43271.

It is an arithmetic number, because the mean of its divisors is an integer number (3578400).

Almost surely, 257253728 is an apocalyptic number.

It is an amenable number.

57253728 is an abundant number, since it is smaller than the sum of its proper divisors (114509472).

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

57253728 is a wasteful number, since it uses less digits than its factorization.

57253728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85219 (or 85211 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 57253728 is about 7566.6193243747. The cubic root of 57253728 is about 385.4203044656.

It can be divided in two parts, 5725 and 3728, that added together give a triangular number (9453 = T137).

The spelling of 57253728 in words is "fifty-seven million, two hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 85199 170398 255597 340796 511194 596393 681592 1022388 1192786 1363184 1789179 2044776 2385572 2726368 3578358 4089552 4771144 7156716 8179104 9542288 14313432 19084576 28626864 57253728