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138559792 = 24717611193
BaseRepresentation
bin10000100001001…
…00000100110000
3100122201120022011
420100210010300
5240432403132
621425452304
73301511260
oct1020440460
9318646264
10138559792
1171239028
123a4a1094
1322924957
141458b7a0
15c26eb47
hex8424130

138559792 has 80 divisors (see below), whose sum is σ = 330460992. Its totient is φ = 54927360.

The previous prime is 138559769. The next prime is 138559829. The reversal of 138559792 is 297955831.

138559792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115548 + ... + 116740.

Almost surely, 2138559792 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 138559792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165230496).

138559792 is an abundant number, since it is smaller than the sum of its proper divisors (191901200).

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

138559792 is a wasteful number, since it uses less digits than its factorization.

138559792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its digits is 680400, while the sum is 49.

The square root of 138559792 is about 11771.1423404868. The cubic root of 138559792 is about 517.4627286124.

The spelling of 138559792 in words is "one hundred thirty-eight million, five hundred fifty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 238 244 272 427 476 488 854 952 976 1037 1193 1708 1904 2074 2386 3416 4148 4772 6832 7259 8296 8351 9544 14518 16592 16702 19088 20281 29036 33404 40562 58072 66808 72773 81124 116144 133616 141967 145546 162248 283934 291092 324496 509411 567868 582184 1018822 1135736 1164368 1237141 2037644 2271472 2474282 4075288 4948564 8150576 8659987 9897128 17319974 19794256 34639948 69279896 138559792