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12822828 = 22317239263
BaseRepresentation
bin110000111010…
…100100101100
3220010110121120
4300322210230
511240312303
61134500540
7213664224
oct60724454
926113546
1012822828
117268a87
124364750
13286c695
1419bb084
1511d4553
hexc3a92c

12822828 has 48 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3990784.

The previous prime is 12822827. The next prime is 12822829. The reversal of 12822828 is 82822821.

It is an interprime number because it is at equal distance from previous prime (12822827) and next prime (12822829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48625 + ... + 48887.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 212822828 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 12822828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

12822828 is an abundant number, since it is smaller than the sum of its proper divisors (19110612).

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

12822828 is a wasteful number, since it uses less digits than its factorization.

12822828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 12822828 is about 3580.8976528239. The cubic root of 12822828 is about 234.0603978800.

The spelling of 12822828 in words is "twelve million, eight hundred twenty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 239 263 478 526 717 789 956 1052 1434 1578 2868 3156 4063 4471 8126 8942 12189 13413 16252 17884 24378 26826 48756 53652 62857 125714 188571 251428 377142 754284 1068569 2137138 3205707 4274276 6411414 12822828