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38925264 = 2437115849
BaseRepresentation
bin1001010001111…
…1001111010000
32201020121102110
42110133033100
534431102024
63510145320
7651600510
oct224371720
981217373
1038925264
111aa77144
1211052240
1380ab601
145253840
15363d629
hex251f3d0

38925264 has 40 divisors (see below), whose sum is σ = 114923200. Its totient is φ = 11121408.

The previous prime is 38925251. The next prime is 38925287. The reversal of 38925264 is 46252983.

It is a happy number.

38925264 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 7 ways as a sum of consecutive naturals, for example, 57589 + ... + 58260.

It is an arithmetic number, because the mean of its divisors is an integer number (2873080).

Almost surely, 238925264 is an apocalyptic number.

It is an amenable number.

38925264 is an abundant number, since it is smaller than the sum of its proper divisors (75997936).

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

38925264 is a wasteful number, since it uses less digits than its factorization.

38925264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115867 (or 115861 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 38925264 is about 6239.0114601594. The cubic root of 38925264 is about 338.9043856311.

The spelling of 38925264 in words is "thirty-eight million, nine hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 115849 231698 347547 463396 695094 810943 926792 1390188 1621886 1853584 2432829 2780376 3243772 4865658 5560752 6487544 9731316 12975088 19462632 38925264