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138446328 = 23347912043
BaseRepresentation
bin10000100000010…
…00010111111000
3100122111210122210
420100020113320
5240420240303
621423215120
73300526416
oct1020102770
9318453583
10138446328
1171170859
123a4474a0
13228b5107
141455c2b6
15c24b203
hex84085f8

138446328 has 32 divisors (see below), whose sum is σ = 346867200. Its totient is φ = 46048608.

The previous prime is 138446327. The next prime is 138446333. The reversal of 138446328 is 823644831.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138446323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5475 + ... + 17517.

It is an arithmetic number, because the mean of its divisors is an integer number (10839600).

Almost surely, 2138446328 is an apocalyptic number.

It is an amenable number.

138446328 is an abundant number, since it is smaller than the sum of its proper divisors (208420872).

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

138446328 is a wasteful number, since it uses less digits than its factorization.

138446328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12527 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 138446328 is about 11766.3217702050. The cubic root of 138446328 is about 517.3214432176.

The spelling of 138446328 in words is "one hundred thirty-eight million, four hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 479 958 1437 1916 2874 3832 5748 11496 12043 24086 36129 48172 72258 96344 144516 289032 5768597 11537194 17305791 23074388 34611582 46148776 69223164 138446328