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57825248 = 2513229607
BaseRepresentation
bin1101110010010…
…1011111100000
311000210211022212
43130211133200
5104300401443
65423221252
71301335505
oct334453740
9130724285
1057825248
112a705a68
1217447828
13bc98130
1479734ac
155123618
hex37257e0

57825248 has 48 divisors (see below), whose sum is σ = 123338880. Its totient is φ = 26528256.

The previous prime is 57825223. The next prime is 57825281. The reversal of 57825248 is 84252875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94961 + ... + 95567.

It is an arithmetic number, because the mean of its divisors is an integer number (2569560).

Almost surely, 257825248 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 57825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61669440).

57825248 is an abundant number, since it is smaller than the sum of its proper divisors (65513632).

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

57825248 is a wasteful number, since it uses less digits than its factorization.

57825248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its digits is 179200, while the sum is 41.

The square root of 57825248 is about 7604.2914199812. The cubic root of 57825248 is about 386.6985123725.

The spelling of 57825248 in words is "fifty-seven million, eight hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 229 416 458 607 916 1214 1832 2428 2977 3664 4856 5954 7328 7891 9712 11908 15782 19424 23816 31564 47632 63128 95264 126256 139003 252512 278006 556012 1112024 1807039 2224048 3614078 4448096 7228156 14456312 28912624 57825248