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138733232 = 24111914127
BaseRepresentation
bin10000100010011…
…10011010110000
3100200001101012212
420101032122300
5241003430412
621433311252
73303133031
oct1021163260
9320041185
10138733232
1171347370
123a565528
1322985891
14145d4a88
15c2a6222
hex844e6b0

138733232 has 40 divisors (see below), whose sum is σ = 294838272. Its totient is φ = 62715200.

The previous prime is 138733223. The next prime is 138733267. The reversal of 138733232 is 232337831.

It is a super-2 number, since 2×1387332322 = 38493819322331648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31553 + ... + 35679.

Almost surely, 2138733232 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 138733232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147419136).

138733232 is an abundant number, since it is smaller than the sum of its proper divisors (156105040).

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

138733232 is a wasteful number, since it uses less digits than its factorization.

138733232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4331 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 138733232 is about 11778.5072059238. The cubic root of 138733232 is about 517.6785471487.

The spelling of 138733232 in words is "one hundred thirty-eight million, seven hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 191 382 764 1528 2101 3056 4127 4202 8254 8404 16508 16808 33016 33616 45397 66032 90794 181588 363176 726352 788257 1576514 3153028 6306056 8670827 12612112 17341654 34683308 69366616 138733232