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12851296 = 251923919
BaseRepresentation
bin110001000001…
…100001100000
3220011220122221
4301001201200
511242220141
61135240424
7214143223
oct61014140
926156587
1012851296
117288407
124379114
13287c623
1419c75ba
1511dcbd1
hexc41860

12851296 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 5816448.

The previous prime is 12851261. The next prime is 12851309. The reversal of 12851296 is 69215821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13525 + ... + 14443.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 212851296 is an apocalyptic number.

12851296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12851296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

12851296 is an abundant number, since it is smaller than the sum of its proper divisors (14969504).

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

12851296 is a wasteful number, since it uses less digits than its factorization.

12851296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 12851296 is about 3584.8704300156. The cubic root of 12851296 is about 234.2334825916.

The spelling of 12851296 in words is "twelve million, eight hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 919 1748 1838 3496 3676 6992 7352 13984 14704 17461 21137 29408 34922 42274 69844 84548 139688 169096 279376 338192 401603 558752 676384 803206 1606412 3212824 6425648 12851296