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12494752 = 253761173
BaseRepresentation
bin101111101010…
…011110100000
3212111210120121
4233222132200
511144313002
61123450024
7211126564
oct57523640
925453517
1012494752
117064546
124226914
13278625a
1419336a4
15116c237
hexbea7a0

12494752 has 48 divisors (see below), whose sum is σ = 25826472. Its totient is φ = 5944320.

The previous prime is 12494747. The next prime is 12494771. The reversal of 12494752 is 25749421.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 633616 = 3444^2 + 796^2 .

It is a super-2 number, since 2×124947522 = 312237655083008, which contains 22 as substring.

It is an unprimeable number.

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, 72138 + ... + 72310.

Almost surely, 212494752 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 12494752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913236).

12494752 is an abundant number, since it is smaller than the sum of its proper divisors (13331720).

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

12494752 is a wasteful number, since it uses less digits than its factorization.

12494752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 12494752 is about 3534.7916487397. The cubic root of 12494752 is about 232.0469583900.

The spelling of 12494752 in words is "twelve million, four hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 173 244 296 346 488 592 692 976 1184 1384 1952 2257 2768 4514 5536 6401 9028 10553 12802 18056 21106 25604 36112 42212 51208 72224 84424 102416 168848 204832 337696 390461 780922 1561844 3123688 6247376 12494752