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138483648 = 263380141
BaseRepresentation
bin10000100000100…
…01011111000000
3100122120200212000
420100101133000
5240422434043
621424104000
73301043262
oct1020213700
9318520760
10138483648
11711968a6
123a465000
13228c90b4
141456bb32
15c2572d3
hex84117c0

138483648 has 56 divisors (see below), whose sum is σ = 407121360. Its totient is φ = 46160640.

The previous prime is 138483641. The next prime is 138483673. The reversal of 138483648 is 846384831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138483641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38343 + ... + 41798.

Almost surely, 2138483648 is an apocalyptic number.

138483648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138483648 is an abundant number, since it is smaller than the sum of its proper divisors (268637712).

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

138483648 is an equidigital number, since it uses as much as digits as its factorization.

138483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80162 (or 80146 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 138483648 is about 11767.9075455240. The cubic root of 138483648 is about 517.3679226055.

The spelling of 138483648 in words is "one hundred thirty-eight million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 80141 160282 240423 320564 480846 641128 721269 961692 1282256 1442538 1923384 2163807 2564512 2885076 3846768 4327614 5129024 5770152 7693536 8655228 11540304 15387072 17310456 23080608 34620912 46161216 69241824 138483648