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826228660 = 225435318127
BaseRepresentation
bin110001001111110…
…011111110110100
32010120200202122111
4301033303332310
53143003304120
6213552540404
726321553625
oct6117637664
92116622574
10826228660
11394425904
121b0851704
131022373ca
147ba35a4c
154c80875a
hex313f3fb4

826228660 has 48 divisors (see below), whose sum is σ = 1809029376. Its totient is φ = 316697472.

The previous prime is 826228643. The next prime is 826228687. The reversal of 826228660 is 66822628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36517 + ... + 54643.

It is an arithmetic number, because the mean of its divisors is an integer number (37688112).

Almost surely, 2826228660 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 826228660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904514688).

826228660 is an abundant number, since it is smaller than the sum of its proper divisors (982800716).

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

826228660 is a wasteful number, since it uses less digits than its factorization.

826228660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18230 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 826228660 is about 28744.1935006011. The cubic root of 826228660 is about 938.3540912308.

The spelling of 826228660 in words is "eight hundred twenty-six million, two hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 4558 9116 11395 18127 22790 36254 45580 72508 90635 181270 362540 779461 960731 1558922 1921462 3117844 3842924 3897305 4803655 7794610 9607310 15589220 19214620 41311433 82622866 165245732 206557165 413114330 826228660