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138792291 = 31137711601
BaseRepresentation
bin10000100010111…
…00110101100011
3100200011101020020
420101130311203
5241012323131
621434444523
73303500151
oct1021346543
9320141206
10138792291
1171387780
123a593743
13229a6721
141460c3d1
15c2b8996
hex845cd63

138792291 has 32 divisors (see below), whose sum is σ = 210387456. Its totient is φ = 80640000.

The previous prime is 138792259. The next prime is 138792293. The reversal of 138792291 is 192297831.

It is not a de Polignac number, because 138792291 - 25 = 138792259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138792293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85891 + ... + 87491.

It is an arithmetic number, because the mean of its divisors is an integer number (6574608).

Almost surely, 2138792291 is an apocalyptic number.

138792291 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138792291 is a deficient number, since it is larger than the sum of its proper divisors (71595165).

138792291 is a wasteful number, since it uses less digits than its factorization.

138792291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723.

The product of its digits is 54432, while the sum is 42.

The square root of 138792291 is about 11781.0140055939. The cubic root of 138792291 is about 517.7519956404.

The spelling of 138792291 in words is "one hundred thirty-eight million, seven hundred ninety-two thousand, two hundred ninety-one".

Divisors: 1 3 11 33 37 71 111 213 407 781 1221 1601 2343 2627 4803 7881 17611 28897 52833 59237 86691 113671 177711 341013 651607 1250381 1954821 3751143 4205827 12617481 46264097 138792291