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12842082 = 2321179821
BaseRepresentation
bin110000111111…
…010001100010
3220011110000200
4300333101202
511241421312
61135130030
7214104321
oct60772142
926143020
1012842082
1172814a0
124373916
132878386
1419c40b8
1511da0dc
hexc3f462

12842082 has 48 divisors (see below), whose sum is σ = 30775680. Its totient is φ = 3837600.

The previous prime is 12842069. The next prime is 12842083. The reversal of 12842082 is 28024821.

12842082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12842083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15232 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (641160).

Almost surely, 212842082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12842082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387840).

12842082 is an abundant number, since it is smaller than the sum of its proper divisors (17933598).

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

12842082 is a wasteful number, since it uses less digits than its factorization.

12842082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12842082 is about 3583.5850764284. The cubic root of 12842082 is about 234.1774897094.

The spelling of 12842082 in words is "twelve million, eight hundred forty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 821 869 1422 1642 1738 2463 2607 4926 5214 7389 7821 9031 14778 15642 18062 27093 54186 64859 81279 129718 162558 194577 389154 583731 713449 1167462 1426898 2140347 4280694 6421041 12842082