Search a number
-
+
12844404 = 2232615849
BaseRepresentation
bin110000111111…
…110101110100
3220011120012200
4300333311310
511242010104
61135144500
7214114146
oct60776564
926146180
1012844404
117283211
124375130
132879451
1419c4c96
1511dab39
hexc3fd74

12844404 has 36 divisors (see below), whose sum is σ = 33005700. Its totient is φ = 4210560.

The previous prime is 12844393. The next prime is 12844417. The reversal of 12844404 is 40444821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 10890000 = 1398^2 + 3300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×128444044 (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729 + ... + 5120.

It is an arithmetic number, because the mean of its divisors is an integer number (916825).

Almost surely, 212844404 is an apocalyptic number.

It is an amenable number.

12844404 is an abundant number, since it is smaller than the sum of its proper divisors (20161296).

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

12844404 is a wasteful number, since it uses less digits than its factorization.

12844404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 12844404 is about 3583.9090390243. The cubic root of 12844404 is about 234.1916028769.

The spelling of 12844404 in words is "twelve million, eight hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 5849 11698 17547 23396 35094 52641 70188 105282 210564 356789 713578 1070367 1427156 2140734 3211101 4281468 6422202 12844404