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12758272 = 28194361
BaseRepresentation
bin110000101010…
…110100000000
3220000012001121
4300222310000
511231231042
61133242024
7213305062
oct60526400
926005047
1012758272
11722452a
124333314
132849197
1419a1732
1511c0367
hexc2ad00

12758272 has 72 divisors (see below), whose sum is σ = 27880160. Its totient is φ = 5806080.

The previous prime is 12758269. The next prime is 12758281. The reversal of 12758272 is 27285721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209122 + ... + 209182.

Almost surely, 212758272 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 12758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940080).

12758272 is an abundant number, since it is smaller than the sum of its proper divisors (15121888).

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

12758272 is an equidigital number, since it uses as much as digits as its factorization.

12758272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 15680, while the sum is 34.

The square root of 12758272 is about 3571.8723381442. The cubic root of 12758272 is about 233.6669477221. Note that the first 3 decimals are identical.

The spelling of 12758272 in words is "twelve million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 43 61 64 76 86 122 128 152 172 244 256 304 344 488 608 688 817 976 1159 1216 1376 1634 1952 2318 2432 2623 2752 3268 3904 4636 4864 5246 5504 6536 7808 9272 10492 11008 13072 15616 18544 20984 26144 37088 41968 49837 52288 74176 83936 99674 104576 148352 167872 199348 209152 296704 335744 398696 671488 797392 1594784 3189568 6379136 12758272