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138332352 = 263720481
BaseRepresentation
bin10000011111011…
…00100011000000
3100122022000022110
420033230203000
5240403113402
621420535320
73266543214
oct1017544300
9318260273
10138332352
11710a3164
123a3b1540
1322875282
141452c944
15c22756c
hex83ec8c0

138332352 has 28 divisors (see below), whose sum is σ = 366004856. Its totient is φ = 46110720.

The previous prime is 138332329. The next prime is 138332371. The reversal of 138332352 is 253233831.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 360049 + ... + 360432.

It is an arithmetic number, because the mean of its divisors is an integer number (13071602).

Almost surely, 2138332352 is an apocalyptic number.

138332352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138332352 is an abundant number, since it is smaller than the sum of its proper divisors (227672504).

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

138332352 is an equidigital number, since it uses as much as digits as its factorization.

138332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720496 (or 720486 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 138332352 is about 11761.4774582108. The cubic root of 138332352 is about 517.1794425417.

The spelling of 138332352 in words is "one hundred thirty-eight million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 720481 1440962 2161443 2881924 4322886 5763848 8645772 11527696 17291544 23055392 34583088 46110784 69166176 138332352