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38706912 = 2532134399
BaseRepresentation
bin1001001110100…
…1111011100000
32200211111220100
42103221323200
534402110122
63501342400
7650001066
oct223517340
980744810
1038706912
111a938092
1210b67a00
1380330ca
1451d8036
1535e8aac
hex24e9ee0

38706912 has 36 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 12902208.

The previous prime is 38706869. The next prime is 38706947. The reversal of 38706912 is 21960783.

38706912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 66912 + ... + 67487.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 238706912 is an apocalyptic number.

38706912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38706912 is an abundant number, since it is smaller than the sum of its proper divisors (71366688).

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

38706912 is a wasteful number, since it uses less digits than its factorization.

38706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134415 (or 134404 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 38706912 is about 6221.4879249260. The cubic root of 38706912 is about 338.2695001729.

The spelling of 38706912 in words is "thirty-eight million, seven hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 134399 268798 403197 537596 806394 1075192 1209591 1612788 2150384 2419182 3225576 4300768 4838364 6451152 9676728 12902304 19353456 38706912