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12822641 = 131723413
BaseRepresentation
bin110000111010…
…100001110001
3220010110100122
4300322201301
511240311031
61134500025
7213663536
oct60724161
926113318
1012822641
117268927
124364615
13286c580
1419bad8d
1511d447b
hexc3a871

12822641 has 12 divisors (see below), whose sum is σ = 14673372. Its totient is φ = 11136768.

The previous prime is 12822637. The next prime is 12822659. The reversal of 12822641 is 14622821.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1700416 + 11122225 = 1304^2 + 3335^2 .

It is not a de Polignac number, because 12822641 - 22 = 12822637 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12822641.

It is not an unprimeable number, because it can be changed into a prime (12822631) 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 11 ways as a sum of consecutive naturals, for example, 2051 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (1222781).

Almost surely, 212822641 is an apocalyptic number.

It is an amenable number.

12822641 is a deficient number, since it is larger than the sum of its proper divisors (1850731).

12822641 is a wasteful number, since it uses less digits than its factorization.

12822641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3443 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 12822641 is about 3580.8715419573. The cubic root of 12822641 is about 234.0592600783.

The spelling of 12822641 in words is "twelve million, eight hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 13 17 221 289 3413 3757 44369 58021 754273 986357 12822641