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12249328 = 2471347179
BaseRepresentation
bin101110101110…
…100011110000
3212001022220211
4232232203300
511113434303
61114313504
7206055220
oct56564360
925038824
1012249328
116a07113
124128894
1326cb630
1418ac080
15111e66d
hexbae8f0

12249328 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4716288.

The previous prime is 12249323. The next prime is 12249353. The reversal of 12249328 is 82394221.

It is a self number, because there is not a number n which added to its sum of digits gives 12249328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12249323) 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 15 ways as a sum of consecutive naturals, for example, 68343 + ... + 68521.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212249328 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 12249328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12249328 is an abundant number, since it is smaller than the sum of its proper divisors (17748752).

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

12249328 is a wasteful number, since it uses less digits than its factorization.

12249328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 12249328 is about 3499.9039986834. The cubic root of 12249328 is about 230.5175992698.

The spelling of 12249328 in words is "twelve million, two hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 179 182 188 208 329 358 364 376 611 658 716 728 752 1222 1253 1316 1432 1456 2327 2444 2506 2632 2864 4277 4654 4888 5012 5264 8413 8554 9308 9776 10024 16289 16826 17108 18616 20048 32578 33652 34216 37232 58891 65156 67304 68432 109369 117782 130312 134608 218738 235564 260624 437476 471128 765583 874952 942256 1531166 1749904 3062332 6124664 12249328