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138375424 = 281149139
BaseRepresentation
bin10000011111101…
…11000100000000
3100122101012101201
420033313010000
5240411003144
621421510544
73300112615
oct1017670400
9318335351
10138375424
1171122560
123a412454
132288ba65
141454050c
15c2351d4
hex83f7100

138375424 has 36 divisors (see below), whose sum is σ = 301326480. Its totient is φ = 62896640.

The previous prime is 138375371. The next prime is 138375467. The reversal of 138375424 is 424573831.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 21754 + ... + 27385.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2138375424 is an apocalyptic number.

It is an amenable number.

138375424 is an abundant number, since it is smaller than the sum of its proper divisors (162951056).

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

138375424 is an equidigital number, since it uses as much as digits as its factorization.

138375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49166 (or 49152 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 138375424 is about 11763.3083781732. The cubic root of 138375424 is about 517.2331143474.

The spelling of 138375424 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 49139 98278 196556 393112 540529 786224 1081058 1572448 2162116 3144896 4324232 6289792 8648464 12579584 17296928 34593856 69187712 138375424