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14139648 = 283217192
BaseRepresentation
bin110101111100…
…000100000000
3222121100221200
4311330010000
512104432043
61223021200
7231120315
oct65740400
928540850
1014139648
117a88366
12489a800
132c10b73
141c40d0c
1513947d3
hexd7c100

14139648 has 162 divisors, whose sum is σ = 45557694. Its totient is φ = 4202496.

The previous prime is 14139637. The next prime is 14139649. The reversal of 14139648 is 84693141.

14139648 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 9 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 831744 = 3648^2 + 912^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (14139649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 744183 + ... + 744201.

Almost surely, 214139648 is an apocalyptic number.

14139648 is a gapful number since it is divisible by the number (18) 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 14139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22778847).

14139648 is an abundant number, since it is smaller than the sum of its proper divisors (31418046).

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

14139648 is a wasteful number, since it uses less digits than its factorization.

14139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14139648 is about 3760.2723305633. The cubic root of 14139648 is about 241.8129374249.

The spelling of 14139648 in words is "fourteen million, one hundred thirty-nine thousand, six hundred forty-eight".