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38528568 = 23331313721
BaseRepresentation
bin1001001011111…
…0011000111000
32200111110021000
42102332120320
534330403233
63453445000
7645326121
oct222763070
980443230
1038528568
111a8260a1
1210aa0760
137c9cb90
14518d048
1535b0d13
hex24be638

38528568 has 64 divisors (see below), whose sum is σ = 115264800. Its totient is φ = 11854080.

The previous prime is 38528543. The next prime is 38528573. The reversal of 38528568 is 86582583.

It is a happy number.

38528568 is a `hidden beast` number, since 3 + 85 + 2 + 8 + 568 = 666.

38528568 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 15 ways as a sum of consecutive naturals, for example, 4053 + ... + 9668.

Almost surely, 238528568 is an apocalyptic number.

It is an amenable number.

38528568 is an abundant number, since it is smaller than the sum of its proper divisors (76736232).

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

38528568 is a wasteful number, since it uses less digits than its factorization.

38528568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749 (or 13739 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 38528568 is about 6207.1384711476. The cubic root of 38528568 is about 337.7491690849.

The spelling of 38528568 in words is "thirty-eight million, five hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 13721 27442 41163 54884 82326 109768 123489 164652 178373 246978 329304 356746 370467 493956 535119 713492 740934 987912 1070238 1426984 1481868 1605357 2140476 2963736 3210714 4280952 4816071 6421428 9632142 12842856 19264284 38528568