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38901372 = 22317238291
BaseRepresentation
bin1001010001100…
…1011001111100
32201012101122120
42110121121330
534424320442
63505442540
7651441036
oct224313174
981171576
1038901372
111aa601a4
1211040450
1380a0783
145248c56
1536364ec
hex251967c

38901372 has 48 divisors (see below), whose sum is σ = 100300032. Its totient is φ = 11672320.

The previous prime is 38901371. The next prime is 38901377. The reversal of 38901372 is 27310983.

38901372 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 not an unprimeable number, because it can be changed into a prime (38901371) by changing a digit.

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, 547 + ... + 8837.

It is an arithmetic number, because the mean of its divisors is an integer number (2089584).

Almost surely, 238901372 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 38901372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150016).

38901372 is an abundant number, since it is smaller than the sum of its proper divisors (61398660).

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

38901372 is a wasteful number, since it uses less digits than its factorization.

38901372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 38901372 is about 6237.0964398508. The cubic root of 38901372 is about 338.8350325516.

The spelling of 38901372 in words is "thirty-eight million, nine hundred one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 8291 16582 24873 33164 49746 99492 140947 190693 281894 381386 422841 563788 572079 762772 845682 1144158 1691364 2288316 3241781 6483562 9725343 12967124 19450686 38901372