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12493512 = 2332732377
BaseRepresentation
bin101111101010…
…001011001000
3212111201212200
4233222023020
511144243022
61123440200
7211123143
oct57521310
925451780
1012493512
117063619
124226060
132785815
14193305a
15116bbac
hexbea2c8

12493512 has 48 divisors (see below), whose sum is σ = 34314540. Its totient is φ = 4105728.

The previous prime is 12493499. The next prime is 12493517. The reversal of 12493512 is 21539421.

12493512 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 2 ways, for example, as 12489156 + 4356 = 3534^2 + 66^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12493517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4068 + ... + 6444.

Almost surely, 212493512 is an apocalyptic number.

12493512 is a gapful number since it is divisible by the number (12) 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 12493512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157270).

12493512 is an abundant number, since it is smaller than the sum of its proper divisors (21821028).

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

12493512 is a wasteful number, since it uses less digits than its factorization.

12493512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2455 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 12493512 is about 3534.6162450823. The cubic root of 12493512 is about 232.0392818939.

It can be divided in two parts, 1249 and 3512, that added together give a square (4761 = 692).

The spelling of 12493512 in words is "twelve million, four hundred ninety-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2377 2628 4754 5256 7131 9508 14262 19016 21393 28524 42786 57048 85572 171144 173521 347042 520563 694084 1041126 1388168 1561689 2082252 3123378 4164504 6246756 12493512