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138594048 = 2831131597
BaseRepresentation
bin10000100001011…
…00011100000000
3100122210022021220
420100230130000
5240440002143
621430315040
73302013165
oct1020543400
9318708256
10138594048
117126183a
123a4b8a80
1322937418
141459a06c
15c279d83
hex842c700

138594048 has 72 divisors (see below), whose sum is σ = 372359568. Its totient is φ = 45760512.

The previous prime is 138594017. The next prime is 138594061. The reversal of 138594048 is 840495831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85986 + ... + 87582.

Almost surely, 2138594048 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 138594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186179784).

138594048 is an abundant number, since it is smaller than the sum of its proper divisors (233765520).

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

138594048 is a wasteful number, since it uses less digits than its factorization.

138594048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 138594048 is about 11772.5973344883. The cubic root of 138594048 is about 517.5053690311.

The spelling of 138594048 in words is "one hundred thirty-eight million, five hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1597 1808 2712 3194 3616 4791 5424 6388 7232 9582 10848 12776 14464 19164 21696 25552 28928 38328 43392 51104 76656 86784 102208 153312 180461 204416 306624 360922 408832 541383 613248 721844 1082766 1226496 1443688 2165532 2887376 4331064 5774752 8662128 11549504 17324256 23099008 34648512 46198016 69297024 138594048