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12444016 = 2413292063
BaseRepresentation
bin101111011110…
…000101110000
3212102012222111
4233132011300
511141202031
61122415104
7210525634
oct57360560
925365874
1012444016
11702a412
124201494
132769130
14191cdc4
15115c1b1
hexbde170

12444016 has 40 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 5542656.

The previous prime is 12444011. The next prime is 12444023. The reversal of 12444016 is 61044421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5001 + ... + 7063.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 212444016 is an apocalyptic number.

12444016 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 12444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436640).

12444016 is an abundant number, since it is smaller than the sum of its proper divisors (14429264).

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

12444016 is a wasteful number, since it uses less digits than its factorization.

12444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12444016 is about 3527.6076879381. The cubic root of 12444016 is about 231.7324501923.

Adding to 12444016 its reverse (61044421), we get a palindrome (73488437).

The spelling of 12444016 in words is "twelve million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 2063 3016 4126 6032 8252 16504 26819 33008 53638 59827 107276 119654 214552 239308 429104 478616 777751 957232 1555502 3111004 6222008 12444016