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12975248 = 24111353107
BaseRepresentation
bin110001011111…
…110010010000
3220102012200202
4301133302100
511310201443
61142034332
7215200466
oct61376220
926365622
1012975248
117362550
1244189a8
1328c3b80
141a1a836
1512147b8
hexc5fc90

12975248 has 80 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 5291520.

The previous prime is 12975247. The next prime is 12975257. The reversal of 12975248 is 84257921.

12975248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (40320) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (12975241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121211 + ... + 121317.

Almost surely, 212975248 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 12975248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528).

12975248 is an abundant number, since it is smaller than the sum of its proper divisors (17397808).

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

12975248 is a wasteful number, since it uses less digits than its factorization.

12975248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 12975248 is about 3602.1171552297. The cubic root of 12975248 is about 234.9841425847.

The spelling of 12975248 in words is "twelve million, nine hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 107 143 176 208 212 214 286 424 428 572 583 689 848 856 1144 1166 1177 1378 1391 1712 2288 2332 2354 2756 2782 4664 4708 5512 5564 5671 7579 9328 9416 11024 11128 11342 15158 15301 18832 22256 22684 30316 30602 45368 60632 61204 62381 73723 90736 121264 122408 124762 147446 244816 249524 294892 499048 589784 810953 998096 1179568 1621906 3243812 6487624 12975248