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38386688 = 210191973
BaseRepresentation
bin1001001001101…
…1110000000000
32200020020122012
42102123300000
534311333223
63450432052
7644165354
oct222336000
980206565
1038386688
111a73953a
1210a32628
137c50422
145153464
153583c78
hex249bc00

38386688 has 44 divisors (see below), whose sum is σ = 80815560. Its totient is φ = 18173952.

The previous prime is 38386687. The next prime is 38386693. The reversal of 38386688 is 88668383.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38386687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18470 + ... + 20442.

Almost surely, 238386688 is an apocalyptic number.

38386688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40407780).

38386688 is an abundant number, since it is smaller than the sum of its proper divisors (42428872).

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

38386688 is a wasteful number, since it uses less digits than its factorization.

38386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1994 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 38386688 is about 6195.6991534451. The cubic root of 38386688 is about 337.3340762828.

The spelling of 38386688 in words is "thirty-eight million, three hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 1973 2432 3946 4864 7892 9728 15784 19456 31568 37487 63136 74974 126272 149948 252544 299896 505088 599792 1010176 1199584 2020352 2399168 4798336 9596672 19193344 38386688