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12475008 = 2732721317
BaseRepresentation
bin101111100101…
…101010000000
3212110210111100
4233211222000
511143200013
61123214400
7211015200
oct57455200
925423440
1012475008
117050727
124217400
13277a280
14192a400
151166473
hexbe5a80

12475008 has 288 divisors, whose sum is σ = 47616660. Its totient is φ = 3096576.

The previous prime is 12474977. The next prime is 12475009. The reversal of 12475008 is 80057421.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 28224 = 3528^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12475009) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 733816 + ... + 733832.

Almost surely, 212475008 is an apocalyptic number.

12475008 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 12475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808330).

12475008 is an abundant number, since it is smaller than the sum of its proper divisors (35141652).

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

12475008 is a wasteful number, since it uses less digits than its factorization.

12475008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12475008 is about 3531.9977349936. The cubic root of 12475008 is about 231.9246683681.

The spelling of 12475008 in words is "twelve million, four hundred seventy-five thousand, eight".