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12444528 = 2431072423
BaseRepresentation
bin101111011110…
…001101110000
3212102020200110
4233132031300
511141211103
61122421320
7210530265
oct57361560
925366613
1012444528
11702a838
124201840
132769435
14191d26c
15115c403
hexbde370

12444528 has 40 divisors (see below), whose sum is σ = 32462208. Its totient is φ = 4107712.

The previous prime is 12444521. The next prime is 12444533. The reversal of 12444528 is 82544421.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12444495 and 12444504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3925 + ... + 6347.

Almost surely, 212444528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231104).

12444528 is an abundant number, since it is smaller than the sum of its proper divisors (20017680).

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

12444528 is a wasteful number, since it uses less digits than its factorization.

12444528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2535 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 12444528 is about 3527.6802576197. The cubic root of 12444528 is about 231.7356283032.

Adding to 12444528 its reverse (82544421), we get a palindrome (94988949).

The spelling of 12444528 in words is "twelve million, four hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2423 2568 4846 5136 7269 9692 14538 19384 29076 38768 58152 116304 259261 518522 777783 1037044 1555566 2074088 3111132 4148176 6222264 12444528