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138138552 = 23322383417
BaseRepresentation
bin10000011101111…
…01001110111000
3100121221011110200
420032331032320
5240330413202
621412442200
73265105206
oct1016751670
9317834420
10138138552
1170a805a2
123a319360
1322807cb6
14144bc076
15c1d9e1c
hex83bd3b8

138138552 has 48 divisors (see below), whose sum is σ = 390396240. Its totient is φ = 44043648.

The previous prime is 138138551. The next prime is 138138563. The reversal of 138138552 is 255831831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138138551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40053 + ... + 43364.

It is an arithmetic number, because the mean of its divisors is an integer number (8133255).

Almost surely, 2138138552 is an apocalyptic number.

138138552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138138552 is an abundant number, since it is smaller than the sum of its proper divisors (252257688).

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

138138552 is a wasteful number, since it uses less digits than its factorization.

138138552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83452 (or 83445 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 138138552 is about 11753.2358097675. The cubic root of 138138552 is about 516.9378113850.

The spelling of 138138552 in words is "one hundred thirty-eight million, one hundred thirty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 83417 166834 250251 333668 500502 667336 750753 1001004 1501506 1918591 2002008 3003012 3837182 5755773 6006024 7674364 11511546 15348728 17267319 23023092 34534638 46046184 69069276 138138552