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138733782 = 231119317349
BaseRepresentation
bin10000100010011…
…10100011010110
3100200001101222020
420101032203112
5241003440112
621433314010
73303134445
oct1021164326
9320041866
10138733782
1171347820
123a565906
1322985bc5
14145d4d5c
15c2a648c
hex844e8d6

138733782 has 64 divisors (see below), whose sum is σ = 320544000. Its totient is φ = 39588480.

The previous prime is 138733741. The next prime is 138733849. The reversal of 138733782 is 287337831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397344 + ... + 397692.

It is an arithmetic number, because the mean of its divisors is an integer number (5008500).

Almost surely, 2138733782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138733782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160272000).

138733782 is an abundant number, since it is smaller than the sum of its proper divisors (181810218).

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

138733782 is a wasteful number, since it uses less digits than its factorization.

138733782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701.

The product of its digits is 169344, while the sum is 42.

The square root of 138733782 is about 11778.5305535113. The cubic root of 138733782 is about 517.6792312502.

It can be divided in two parts, 1 and 38733782, that added together give a palindrome (38733783).

The spelling of 138733782 in words is "one hundred thirty-eight million, seven hundred thirty-three thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 317 349 418 627 634 698 951 1047 1254 1902 2094 3487 3839 6023 6631 6974 7678 10461 11517 12046 13262 18069 19893 20922 23034 36138 39786 66253 72941 110633 132506 145882 198759 218823 221266 331899 397518 437646 663798 1216963 2102027 2433926 3650889 4204054 6306081 7301778 12612162 23122297 46244594 69366891 138733782