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12494048 = 257172193
BaseRepresentation
bin101111101010…
…010011100000
3212111202121112
4233222103200
511144302143
61123442452
7211124540
oct57522340
925452545
1012494048
117063a66
124226428
132785b38
141933320
15116be18
hexbea4e0

12494048 has 72 divisors (see below), whose sum is σ = 30017232. Its totient is φ = 5013504.

The previous prime is 12494047. The next prime is 12494107. The reversal of 12494048 is 84049421.

12494048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124940482 = 312202470852608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12494047) 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, 64640 + ... + 64832.

It is an arithmetic number, because the mean of its divisors is an integer number (416906).

Almost surely, 212494048 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 12494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008616).

12494048 is an abundant number, since it is smaller than the sum of its proper divisors (17523184).

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

12494048 is a wasteful number, since it uses less digits than its factorization.

12494048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 12494048 is about 3534.6920657958. The cubic root of 12494048 is about 232.0426001836.

The spelling of 12494048 in words is "twelve million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 193 224 238 272 289 386 476 544 578 772 952 1156 1351 1544 1904 2023 2312 2702 3088 3281 3808 4046 4624 5404 6176 6562 8092 9248 10808 13124 16184 21616 22967 26248 32368 43232 45934 52496 55777 64736 91868 104992 111554 183736 223108 367472 390439 446216 734944 780878 892432 1561756 1784864 3123512 6247024 12494048