Search a number
-
+
12808208 = 247217312
BaseRepresentation
bin110000110111…
…000000010000
3220002201120002
4300313000100
511234330313
61134305132
7213603500
oct60670020
926081502
1012808208
117258aa6
1243581a8
132865b2a
1419b5a00
1511d0058
hexc37010

12808208 has 90 divisors (see below), whose sum is σ = 31583358. Its totient is φ = 4999680.

The previous prime is 12808193. The next prime is 12808219. The reversal of 12808208 is 80280821.

It can be written as a sum of positive squares in only one way, i.e., 12054784 + 753424 = 3472^2 + 868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 413153 + ... + 413183.

Almost surely, 212808208 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 12808208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791679).

12808208 is an abundant number, since it is smaller than the sum of its proper divisors (18775150).

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

12808208 is a wasteful number, since it uses less digits than its factorization.

12808208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 12808208 is about 3578.8556830361. The cubic root of 12808208 is about 233.9714090765.

The spelling of 12808208 in words is "twelve million, eight hundred eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 49 56 62 68 98 112 119 124 136 196 217 238 248 272 392 434 476 496 527 784 833 868 952 961 1054 1519 1666 1736 1904 1922 2108 3038 3332 3472 3689 3844 4216 6076 6664 6727 7378 7688 8432 12152 13328 13454 14756 15376 16337 24304 25823 26908 29512 32674 47089 51646 53816 59024 65348 94178 103292 107632 114359 130696 188356 206584 228718 261392 376712 413168 457436 753424 800513 914872 1601026 1829744 3202052 6404104 12808208