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138097808 = 2431509547
BaseRepresentation
bin10000011101100…
…11010010010000
3100121212002120122
420032303102100
5240323112213
621411525412
73264545342
oct1016632220
9317762518
10138097808
1170a52a22
123a2b9868
13227c25a4
14144ab292
15c1ccd08
hex83b3490

138097808 has 40 divisors (see below), whose sum is σ = 277244160. Its totient is φ = 66568320.

The previous prime is 138097793. The next prime is 138097831. The reversal of 138097808 is 808790831.

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, 252191 + ... + 252737.

It is an arithmetic number, because the mean of its divisors is an integer number (6931104).

Almost surely, 2138097808 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 138097808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138622080).

138097808 is an abundant number, since it is smaller than the sum of its proper divisors (139146352).

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

138097808 is a wasteful number, since it uses less digits than its factorization.

138097808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 138097808 is about 11751.5023720374. The cubic root of 138097808 is about 516.8869827424.

The spelling of 138097808 in words is "one hundred thirty-eight million, ninety-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 509 547 1018 1094 2036 2188 4072 4376 8144 8752 15779 16957 31558 33914 63116 67828 126232 135656 252464 271312 278423 556846 1113692 2227384 4454768 8631113 17262226 34524452 69048904 138097808