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138042486 = 232193710909
BaseRepresentation
bin10000011101001…
…01110001110110
3100121202021200200
420032211301312
5240314324421
621410421330
73264225141
oct1016456166
9317667620
10138042486
1170a153aa
123a291846
13227a335a
1414495058
15c1bb726
hex83a5c76

138042486 has 48 divisors (see below), whose sum is σ = 323372400. Its totient is φ = 42410304.

The previous prime is 138042479. The next prime is 138042503. The reversal of 138042486 is 684240831.

138042486 is a `hidden beast` number, since 138 + 0 + 42 + 486 = 666.

138042486 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138042486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7200 + ... + 18108.

It is an arithmetic number, because the mean of its divisors is an integer number (6736925).

Almost surely, 2138042486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138042486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161686200).

138042486 is an abundant number, since it is smaller than the sum of its proper divisors (185329914).

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

138042486 is a wasteful number, since it uses less digits than its factorization.

138042486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10973 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 138042486 is about 11749.1483095584. The cubic root of 138042486 is about 516.8179518593.

It can be divided in two parts, 13804 and 2486, that added together give a triangular number (16290 = T180).

The spelling of 138042486 in words is "one hundred thirty-eight million, forty-two thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 10909 12654 21818 32727 65454 98181 196362 207271 403633 414542 621813 807266 1210899 1243626 1865439 2421798 3632697 3730878 7265394 7669027 15338054 23007081 46014162 69021243 138042486