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38390208 = 263792531
BaseRepresentation
bin1001001001110…
…0100111000000
32200020102110120
42102130213000
534311441313
63450500240
7644211543
oct222344700
980212416
1038390208
111a74114a
1210a34680
137c51bcc
14515485a
153584d23
hex249c9c0

38390208 has 56 divisors (see below), whose sum is σ = 102900480. Its totient is φ = 12629760.

The previous prime is 38390159. The next prime is 38390221. The reversal of 38390208 is 80209383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13903 + ... + 16433.

Almost surely, 238390208 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 38390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51450240).

38390208 is an abundant number, since it is smaller than the sum of its proper divisors (64510272).

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

38390208 is a wasteful number, since it uses less digits than its factorization.

38390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38390208 is about 6195.9832149547. The cubic root of 38390208 is about 337.3443869722.

The spelling of 38390208 in words is "thirty-eight million, three hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 2531 3792 5056 5062 7584 7593 10124 15168 15186 20248 30372 40496 60744 80992 121488 161984 199949 242976 399898 485952 599847 799796 1199694 1599592 2399388 3199184 4798776 6398368 9597552 12796736 19195104 38390208