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138583392 = 2533146567
BaseRepresentation
bin10000100001010…
…01110101100000
3100122202202200020
420100221311200
5240434132032
621430153440
73301640133
oct1020516540
9318682606
10138583392
1171254832
123a4b2880
132293260c
141459621a
15c276b2c
hex8429d60

138583392 has 48 divisors (see below), whose sum is σ = 375524352. Its totient is φ = 44703360.

The previous prime is 138583391. The next prime is 138583469. The reversal of 138583392 is 293385831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138583391) 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, 20308 + ... + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (7823424).

Almost surely, 2138583392 is an apocalyptic number.

138583392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138583392 is an abundant number, since it is smaller than the sum of its proper divisors (236940960).

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

138583392 is a wasteful number, since it uses less digits than its factorization.

138583392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46611 (or 46603 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 138583392 is about 11772.1447493649. The cubic root of 138583392 is about 517.4921056463.

The spelling of 138583392 in words is "one hundred thirty-eight million, five hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 46567 93134 139701 186268 279402 372536 558804 745072 1117608 1443577 1490144 2235216 2887154 4330731 4470432 5774308 8661462 11548616 17322924 23097232 34645848 46194464 69291696 138583392