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138881792 = 287194079
BaseRepresentation
bin10000100011100…
…10101100000000
3100200022221000002
420101302230000
5241023204132
621440415132
73304322120
oct1021625400
9320287002
10138881792
1171438a45
123a6174a8
1322a0839a
1414632c80
15c2d5262
hex8472b00

138881792 has 72 divisors (see below), whose sum is σ = 333580800. Its totient is φ = 56374272.

The previous prime is 138881779. The next prime is 138881807. The reversal of 138881792 is 297188831.

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, 32009 + ... + 36087.

Almost surely, 2138881792 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 138881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166790400).

138881792 is an abundant number, since it is smaller than the sum of its proper divisors (194699008).

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

138881792 is an equidigital number, since it uses as much as digits as its factorization.

138881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4107 counting only the distinct ones).

The product of its digits is 193536, while the sum is 47.

The square root of 138881792 is about 11784.8119204339. The cubic root of 138881792 is about 517.8632635019.

The spelling of 138881792 in words is "one hundred thirty-eight million, eight hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4079 4256 4864 8158 8512 16316 17024 28553 32632 34048 57106 65264 77501 114212 130528 155002 228424 261056 310004 456848 522112 542507 620008 913696 1044224 1085014 1240016 1827392 2170028 2480032 3654784 4340056 4960064 7309568 8680112 9920128 17360224 19840256 34720448 69440896 138881792