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826468812 = 223313245281
BaseRepresentation
bin110001010000101…
…110100111001100
32010121010222002000
4301100232213030
53143034000222
6214002032300
726323604031
oct6120564714
92117128060
10826468812
1139457a284
121b0948690
131022bc800
147ba99388
154c8549ac
hex3142e9cc

826468812 has 72 divisors (see below), whose sum is σ = 2320249680. Its totient is φ = 254292480.

The previous prime is 826468801. The next prime is 826468813. The reversal of 826468812 is 218864628.

It is not an unprimeable number, because it can be changed into a prime (826468813) 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, 4389 + ... + 40892.

It is an arithmetic number, because the mean of its divisors is an integer number (32225690).

Almost surely, 2826468812 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 826468812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160124840).

826468812 is an abundant number, since it is smaller than the sum of its proper divisors (1493780868).

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

826468812 is a wasteful number, since it uses less digits than its factorization.

826468812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45320 (or 45299 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 826468812 is about 28748.3705973052. The cubic root of 826468812 is about 938.4449965669. Note that the first 3 decimals are identical.

The spelling of 826468812 in words is "eight hundred twenty-six million, four hundred sixty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 45281 90562 135843 181124 271686 407529 543372 588653 815058 1177306 1222587 1630116 1765959 2354612 2445174 3531918 4890348 5297877 7063836 7652489 10595754 15304978 15893631 21191508 22957467 30609956 31787262 45914934 63574524 68872401 91829868 137744802 206617203 275489604 413234406 826468812