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138795456 = 2631938047
BaseRepresentation
bin10000100010111…
…01100111000000
3100200011112120110
420101131213000
5241012423311
621434511320
73303512322
oct1021354700
9320145513
10138795456
117138a098
123a595540
13229a7cb7
141460d612
15c2b98a6
hex845d9c0

138795456 has 56 divisors (see below), whose sum is σ = 386567680. Its totient is φ = 43828992.

The previous prime is 138795451. The next prime is 138795467. The reversal of 138795456 is 654597831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138795451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15376 + ... + 22671.

Almost surely, 2138795456 is an apocalyptic number.

138795456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138795456 is an abundant number, since it is smaller than the sum of its proper divisors (247772224).

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

138795456 is a wasteful number, since it uses less digits than its factorization.

138795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38081 (or 38071 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 138795456 is about 11781.1483311263. The cubic root of 138795456 is about 517.7559311919.

The spelling of 138795456 in words is "one hundred thirty-eight million, seven hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 38047 76094 114141 152188 228282 304376 456564 608752 722893 913128 1217504 1445786 1826256 2168679 2435008 2891572 3652512 4337358 5783144 7305024 8674716 11566288 17349432 23132576 34698864 46265152 69397728 138795456