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38657682 = 2337313299
BaseRepresentation
bin1001001101110…
…1111010010010
32200202000101000
42103131322102
534344021212
63500322430
7646404420
oct223357222
980660330
1038657682
111a9040a8
1210b43416
13801688b
1451c4110
1535d91dc
hex24dde92

38657682 has 64 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 10685520.

The previous prime is 38657681. The next prime is 38657693. The reversal of 38657682 is 28675683.

It is a super-2 number, since 2×386576822 = 2988832755226248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38657681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10069 + ... + 13367.

It is an arithmetic number, because the mean of its divisors is an integer number (1584000).

Almost surely, 238657682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38657682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

38657682 is an abundant number, since it is smaller than the sum of its proper divisors (62718318).

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

38657682 is a wasteful number, since it uses less digits than its factorization.

38657682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3342 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38657682 is about 6217.5302170556. The cubic root of 38657682 is about 338.1260281868.

The spelling of 38657682 in words is "thirty-eight million, six hundred fifty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3299 3906 5859 6598 9897 11718 19794 23093 29691 46186 59382 69279 89073 102269 138558 178146 204538 207837 306807 415674 613614 623511 715883 920421 1247022 1431766 1840842 2147649 2761263 4295298 5522526 6442947 12885894 19328841 38657682