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12825152 = 261953199
BaseRepresentation
bin110000111011…
…001001000000
3220010120210122
4300323021000
511240401102
61134515412
7214004054
oct60731100
926116718
1012825152
11726a7aa
124365b68
132870762
1419bbc64
1511d50a2
hexc3b240

12825152 has 56 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 5930496.

The previous prime is 12825149. The next prime is 12825179. The reversal of 12825152 is 25152821.

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, 64349 + ... + 64547.

Almost surely, 212825152 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 12825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

12825152 is an abundant number, since it is smaller than the sum of its proper divisors (14606848).

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

12825152 is a wasteful number, since it uses less digits than its factorization.

12825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 12825152 is about 3581.2221377625. Note that the first 3 decimals coincide. The cubic root of 12825152 is about 234.0745373378.

Adding to 12825152 its reverse (25152821), we get a palindrome (37977973).

The spelling of 12825152 in words is "twelve million, eight hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 152 199 212 304 398 424 608 796 848 1007 1216 1592 1696 2014 3184 3392 3781 4028 6368 7562 8056 10547 12736 15124 16112 21094 30248 32224 42188 60496 64448 84376 120992 168752 200393 241984 337504 400786 675008 801572 1603144 3206288 6412576 12825152