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57500256 = 25311173203
BaseRepresentation
bin1101101101011…
…0001001100000
311000012022112010
43123112021200
5104210002011
65412232520
71265513142
oct333261140
9130168463
1057500256
112a503880
121730b740
13bbb3228
1478cac92
1550ac1a6
hex36d6260

57500256 has 96 divisors (see below), whose sum is σ = 174400128. Its totient is φ = 16394240.

The previous prime is 57500167. The next prime is 57500263. The reversal of 57500256 is 65200575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16351 + ... + 19553.

It is an arithmetic number, because the mean of its divisors is an integer number (1816668).

Almost surely, 257500256 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 57500256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87200064).

57500256 is an abundant number, since it is smaller than the sum of its proper divisors (116899872).

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

57500256 is a wasteful number, since it uses less digits than its factorization.

57500256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 57500256 is about 7582.8923241729. The cubic root of 57500256 is about 385.9727042723.

The spelling of 57500256 in words is "fifty-seven million, five hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 3203 4488 5984 6406 8976 9609 12812 17952 19218 25624 35233 38436 51248 54451 70466 76872 102496 105699 108902 140932 153744 163353 211398 217804 281864 307488 326706 422796 435608 563728 598961 653412 845592 871216 1127456 1197922 1306824 1691184 1742432 1796883 2395844 2613648 3382368 3593766 4791688 5227296 7187532 9583376 14375064 19166752 28750128 57500256