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844426836 = 2233116071171
BaseRepresentation
bin110010010101001…
…110111001010100
32011211221022212000
4302111032321110
53212133124321
6215442555300
726632336551
oct6225167124
92154838760
10844426836
113a3725420
121b6968b30
13105c39666
1480211a28
154e200826
hex3254ee54

844426836 has 96 divisors (see below), whose sum is σ = 2394255360. Its totient is φ = 255247200.

The previous prime is 844426829. The next prime is 844426841. The reversal of 844426836 is 638624448.

844426836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 844426791 and 844426800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720531 + ... + 721701.

It is an arithmetic number, because the mean of its divisors is an integer number (24940160).

Almost surely, 2844426836 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 844426836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197127680).

844426836 is an abundant number, since it is smaller than the sum of its proper divisors (1549828524).

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

844426836 is a wasteful number, since it uses less digits than its factorization.

844426836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1794 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 844426836 is about 29059.0233146264. The cubic root of 844426836 is about 945.1933894964.

The spelling of 844426836 in words is "eight hundred forty-four million, four hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 607 1171 1188 1214 1821 2342 2428 3513 3642 4684 5463 6677 7026 7284 10539 10926 12881 13354 14052 16389 20031 21078 21852 25762 26708 31617 32778 38643 40062 42156 51524 60093 63234 65556 77286 80124 115929 120186 126468 154572 180279 231858 240372 347787 360558 463716 695574 710797 721116 1391148 1421594 2132391 2843188 4264782 6397173 7818767 8529564 12794346 15637534 19191519 23456301 25588692 31275068 38383038 46912602 70368903 76766076 93825204 140737806 211106709 281475612 422213418 844426836