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38355138 = 232109113173
BaseRepresentation
bin1001001001010…
…0000011000010
32200011122100200
42102110003002
534304331023
63450030030
7644004363
oct222240302
980148320
1038355138
111a717868
1210a18316
137c3bc63
145145b6a
153579743
hex24940c2

38355138 has 48 divisors (see below), whose sum is σ = 85096440. Its totient is φ = 12483072.

The previous prime is 38355137. The next prime is 38355181. The reversal of 38355138 is 83155383.

It can be written as a sum of positive squares in 4 ways, for example, as 33143049 + 5212089 = 5757^2 + 2283^2 .

It is a super-2 number, since 2×383551382 = 2942233221998088, which contains 22 as substring.

Its product of digits (43200) is a multiple of the sum of its prime divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38355137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221620 + ... + 221792.

Almost surely, 238355138 is an apocalyptic number.

38355138 is an abundant number, since it is smaller than the sum of its proper divisors (46741302).

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

38355138 is a wasteful number, since it uses less digits than its factorization.

38355138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 38355138 is about 6193.1525090216. The cubic root of 38355138 is about 337.2416327145.

The spelling of 38355138 in words is "thirty-eight million, three hundred fifty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 109 113 173 218 226 327 339 346 519 654 678 981 1017 1038 1557 1962 2034 3114 12317 18857 19549 24634 36951 37714 39098 56571 58647 73902 110853 113142 117294 169713 175941 221706 339426 351882 2130841 4261682 6392523 12785046 19177569 38355138