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828442422 = 232833111783
BaseRepresentation
bin110001011000010…
…000011100110110
32010201212020100200
4301120100130312
53144040124142
6214112221330
726346434013
oct6130203466
92121766320
10828442422
113956a8065
121b153a846
13102830c22
147c05070a
154cae464c
hex31610736

828442422 has 48 divisors (see below), whose sum is σ = 1823447808. Its totient is φ = 271790640.

The previous prime is 828442421. The next prime is 828442457. The reversal of 828442422 is 224244828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463743 + ... + 465525.

It is an arithmetic number, because the mean of its divisors is an integer number (37988496).

Almost surely, 2828442422 is an apocalyptic number.

828442422 is an abundant number, since it is smaller than the sum of its proper divisors (995005386).

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

828442422 is a wasteful number, since it uses less digits than its factorization.

828442422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2182 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 828442422 is about 28782.6757269021. The cubic root of 828442422 is about 939.1914058940.

The spelling of 828442422 in words is "eight hundred twenty-eight million, four hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 83 166 249 311 498 622 747 933 1494 1783 1866 2799 3566 5349 5598 10698 16047 25813 32094 51626 77439 147989 154878 232317 295978 443967 464634 554513 887934 1109026 1331901 1663539 2663802 3327078 4990617 9981234 46024579 92049158 138073737 276147474 414221211 828442422