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828204224 = 2619681089
BaseRepresentation
bin110001010111010…
…110010011000000
32010201102010121112
4301113112103000
53144010013344
6214103142452
726344422401
oct6127262300
92121363545
10828204224
11395555101
121b1444a28
13102779693
147bdcb9a8
154ca98c9e
hex315d64c0

828204224 has 28 divisors (see below), whose sum is σ = 1729968600. Its totient is φ = 392306688.

The previous prime is 828204203. The next prime is 828204229. The reversal of 828204224 is 422402828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (828204229) 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 3 ways as a sum of consecutive naturals, for example, 339329 + ... + 341760.

Almost surely, 2828204224 is an apocalyptic number.

It is an amenable number.

828204224 is an abundant number, since it is smaller than the sum of its proper divisors (901764376).

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

828204224 is a wasteful number, since it uses less digits than its factorization.

828204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681120 (or 681110 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 828204224 is about 28778.5375583958. The cubic root of 828204224 is about 939.1013835609.

The spelling of 828204224 in words is "eight hundred twenty-eight million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 681089 1362178 2724356 5448712 10897424 12940691 21794848 25881382 43589696 51762764 103525528 207051056 414102112 828204224