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12444480 = 2632529149
BaseRepresentation
bin101111011110…
…001101000000
3212102020121200
4233132031000
511141210410
61122421200
7210530166
oct57361500
925366550
1012444480
11702a7a4
124201800
1327693c9
14191d236
15115c3c0
hexbde340

12444480 has 168 divisors, whose sum is σ = 44577000. Its totient is φ = 3182592.

The previous prime is 12444473. The next prime is 12444503. The reversal of 12444480 is 8444421.

It is a happy number.

12444480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 12278016 = 408^2 + 3504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83446 + ... + 83594.

Almost surely, 212444480 is an apocalyptic number.

12444480 is a gapful number since it is divisible by the number (10) 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 12444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288500).

12444480 is an abundant number, since it is smaller than the sum of its proper divisors (32132520).

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

12444480 is a wasteful number, since it uses less digits than its factorization.

12444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 12444480 is about 3527.6734542755. The cubic root of 12444480 is about 231.7353303590.

The spelling of 12444480 in words is "twelve million, four hundred forty-four thousand, four hundred eighty".