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138855808 = 2772132131
BaseRepresentation
bin10000100011011…
…00010110000000
3100200021121100201
420101230112000
5241021341213
621440054544
73304153300
oct1021542600
9320247321
10138855808
1171420473
123a604454
13229c9600
1414627600
15c2cc6dd
hex846c580

138855808 has 144 divisors (see below), whose sum is σ = 351107460. Its totient is φ = 54512640.

The previous prime is 138855803. The next prime is 138855809. The reversal of 138855808 is 808558831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138855803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059903 + ... + 1060033.

Almost surely, 2138855808 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 138855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175553730).

138855808 is an abundant number, since it is smaller than the sum of its proper divisors (212251652).

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

138855808 is a wasteful number, since it uses less digits than its factorization.

138855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The square root of 138855808 is about 11783.7094329417. The cubic root of 138855808 is about 517.8309650555.

The spelling of 138855808 in words is "one hundred thirty-eight million, eight hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 131 169 182 196 208 224 262 338 364 392 416 448 524 637 676 728 784 832 896 917 1048 1183 1274 1352 1456 1568 1664 1703 1834 2096 2366 2548 2704 2912 3136 3406 3668 4192 4732 5096 5408 5824 6272 6419 6812 7336 8281 8384 9464 10192 10816 11648 11921 12838 13624 14672 16562 16768 18928 20384 21632 22139 23842 25676 27248 29344 33124 37856 40768 44278 47684 51352 54496 58688 66248 75712 81536 83447 88556 95368 102704 108992 117376 132496 151424 154973 166894 177112 190736 205408 217984 264992 309946 333788 354224 381472 410816 529984 619892 667576 708448 762944 821632 1059968 1084811 1239784 1335152 1416896 1525888 2169622 2479568 2670304 2833792 4339244 4959136 5340608 8678488 9918272 10681216 17356976 19836544 34713952 69427904 138855808