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825820828 = 22767440203
BaseRepresentation
bin110001001110010…
…000011010011100
32010112221001012121
4301032100122130
53142402231303
6213540112324
726315234620
oct6116203234
92115831177
10825820828
11394177458
121b06956a4
131021238a1
147b96b180
154c7779bd
hex3139069c

825820828 has 24 divisors (see below), whose sum is σ = 1676296832. Its totient is φ = 348639984.

The previous prime is 825820813. The next prime is 825820829. The reversal of 825820828 is 828028528.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825820829) 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 7 ways as a sum of consecutive naturals, for example, 218226 + ... + 221977.

Almost surely, 2825820828 is an apocalyptic number.

It is an amenable number.

825820828 is an abundant number, since it is smaller than the sum of its proper divisors (850476004).

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

825820828 is a wasteful number, since it uses less digits than its factorization.

825820828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440281 (or 440279 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 825820828 is about 28737.0984617445. The cubic root of 825820828 is about 938.1996731995.

The spelling of 825820828 in words is "eight hundred twenty-five million, eight hundred twenty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 67 134 268 469 938 1876 440203 880406 1760812 3081421 6162842 12325684 29493601 58987202 117974404 206455207 412910414 825820828