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138888256 = 2613212841
BaseRepresentation
bin10000100011101…
…00010001000000
3100200100020212111
420101310101000
5241023411011
621440505104
73304350013
oct1021642100
9320306774
10138888256
1171442891
123a61b194
1322a0b300
141463537a
15c2d7121
hex8474440

138888256 has 42 divisors (see below), whose sum is σ = 298460922. Its totient is φ = 64097280.

The previous prime is 138888227. The next prime is 138888257. The reversal of 138888256 is 652888831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25600 + 138862656 = 160^2 + 11784^2 .

It is not an unprimeable number, because it can be changed into a prime (138888257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4396 + ... + 17236.

Almost surely, 2138888256 is an apocalyptic number.

138888256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230461).

138888256 is an abundant number, since it is smaller than the sum of its proper divisors (159572666).

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

138888256 is a wasteful number, since it uses less digits than its factorization.

138888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12879 (or 12856 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

The square root of 138888256 is about 11785.0861685437. The cubic root of 138888256 is about 517.8712977113.

It can be divided in two parts, 13888825 and 6, that added together give a palindrome (13888831).

The spelling of 138888256 in words is "one hundred thirty-eight million, eight hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 12841 25682 51364 102728 166933 205456 333866 410912 667732 821824 1335464 2170129 2670928 4340258 5341856 8680516 10683712 17361032 34722064 69444128 138888256