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138199008 = 2531975767
BaseRepresentation
bin10000011110010…
…11111111100000
3100122001020101210
420033023333200
5240334332013
621414030120
73265446363
oct1017137740
9318036353
10138199008
1171011a62
123a348340
132282967c
14144d60da
15c1eccc3
hex83cbfe0

138199008 has 48 divisors (see below), whose sum is σ = 381870720. Its totient is φ = 43641216.

The previous prime is 138198997. The next prime is 138199021. The reversal of 138199008 is 800991831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 36060 + ... + 39707.

It is an arithmetic number, because the mean of its divisors is an integer number (7955640).

Almost surely, 2138199008 is an apocalyptic number.

It is an amenable number.

138199008 is an abundant number, since it is smaller than the sum of its proper divisors (243671712).

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

138199008 is a wasteful number, since it uses less digits than its factorization.

138199008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75799 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 138199008 is about 11755.8074159115. The cubic root of 138199008 is about 517.0132125767.

The spelling of 138199008 in words is "one hundred thirty-eight million, one hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 75767 151534 227301 303068 454602 606136 909204 1212272 1439573 1818408 2424544 2879146 3636816 4318719 5758292 7273632 8637438 11516584 17274876 23033168 34549752 46066336 69099504 138199008