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57288990 = 23511199137
BaseRepresentation
bin1101101010001…
…0100100011110
310222210120201110
43122202210132
5104131221430
65403522450
71263643203
oct332424436
9128716643
1057288990
112a37a080
1217229426
13bb3b015
147873caa
1550697b0
hex36a291e

57288990 has 64 divisors (see below), whose sum is σ = 157904640. Its totient is φ = 13155840.

The previous prime is 57288967. The next prime is 57289019. The reversal of 57288990 is 9988275.

It is a happy number.

57288990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1702 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (2467260).

Almost surely, 257288990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57288990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78952320).

57288990 is an abundant number, since it is smaller than the sum of its proper divisors (100615650).

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

57288990 is a wasteful number, since it uses less digits than its factorization.

57288990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 57288990 is about 7568.9490683978. The cubic root of 57288990 is about 385.4994137340.

The spelling of 57288990 in words is "fifty-seven million, two hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 9137 18274 27411 45685 54822 91370 100507 137055 173603 201014 274110 301521 347206 502535 520809 603042 868015 1005070 1041618 1507605 1736030 1909633 2604045 3015210 3819266 5208090 5728899 9548165 11457798 19096330 28644495 57288990