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138293928 = 23324740867
BaseRepresentation
bin10000011111000…
…11001010101000
3100122020001121100
420033203022220
5240400401203
621420041400
73266323203
oct1017431250
9318201540
10138293928
1171077303
123a393260
1322860936
141451c93a
15c21aea3
hex83e32a8

138293928 has 48 divisors (see below), whose sum is σ = 382524480. Its totient is φ = 45116064.

The previous prime is 138293899. The next prime is 138293971. The reversal of 138293928 is 829392831.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17050 + ... + 23817.

It is an arithmetic number, because the mean of its divisors is an integer number (7969260).

Almost surely, 2138293928 is an apocalyptic number.

138293928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138293928 is an abundant number, since it is smaller than the sum of its proper divisors (244230552).

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

138293928 is a wasteful number, since it uses less digits than its factorization.

138293928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40926 (or 40919 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 138293928 is about 11759.8438765147. The cubic root of 138293928 is about 517.1315531824.

The spelling of 138293928 in words is "one hundred thirty-eight million, two hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 40867 81734 122601 163468 245202 326936 367803 490404 735606 980808 1471212 1920749 2942424 3841498 5762247 7682996 11524494 15365992 17286741 23048988 34573482 46097976 69146964 138293928