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57386288 = 2417239173
BaseRepresentation
bin1101101011101…
…0010100110000
310222222112012002
43122322110300
5104142330123
65405553132
71264526651
oct332722460
9128875162
1057386288
112a436193
12172757a8
13bb733ab
14789b528
155088528
hex36ba530

57386288 has 40 divisors (see below), whose sum is σ = 122858208. Its totient is φ = 25828352.

The previous prime is 57386279. The next prime is 57386321. The reversal of 57386288 is 88268375.

57386288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1670 + ... + 10842.

Almost surely, 257386288 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 57386288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61429104).

57386288 is an abundant number, since it is smaller than the sum of its proper divisors (65471920).

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

57386288 is a wasteful number, since it uses less digits than its factorization.

57386288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9215 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 57386288 is about 7575.3737861574. The cubic root of 57386288 is about 385.7175307324.

The spelling of 57386288 in words is "fifty-seven million, three hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 9173 18346 36692 73384 146768 155941 210979 311882 421958 623764 843916 1247528 1687832 2495056 3375664 3586643 7173286 14346572 28693144 57386288