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826840220 = 225174795077
BaseRepresentation
bin110001010010001…
…001010010011100
32010121211211112212
4301102021102130
53143132341340
6214014015552
726330011613
oct6122112234
92117754485
10826840220
11394803328
121b0aa75b8
131023bc88b
147bb5487a
154c8c9a65
hex3148949c

826840220 has 48 divisors (see below), whose sum is σ = 1842704640. Its totient is φ = 310569984.

The previous prime is 826840207. The next prime is 826840243. The reversal of 826840220 is 22048628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160322 + ... + 165398.

It is an arithmetic number, because the mean of its divisors is an integer number (38389680).

Almost surely, 2826840220 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 826840220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921352320).

826840220 is an abundant number, since it is smaller than the sum of its proper divisors (1015864420).

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

826840220 is a wasteful number, since it uses less digits than its factorization.

826840220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 826840220 is about 28754.8295074062. The cubic root of 826840220 is about 938.5855518934.

Adding to 826840220 its reverse (22048628), we get a palindrome (848888848).

The spelling of 826840220 in words is "eight hundred twenty-six million, eight hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 479 958 1916 2395 4790 5077 8143 9580 10154 16286 20308 25385 32572 40715 50770 81430 86309 101540 162860 172618 345236 431545 863090 1726180 2431883 4863766 9727532 12159415 24318830 41342011 48637660 82684022 165368044 206710055 413420110 826840220