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825404528 = 24133968291
BaseRepresentation
bin110001001100101…
…010110001110000
32010112010220011002
4301030222301300
53142300421103
6213523141132
726311552124
oct6114526160
92115126132
10825404528
11393a12703
121b05147a8
13102009260
147b89d584
154c6e4488
hex3132ac70

825404528 has 20 divisors (see below), whose sum is σ = 1722238728. Its totient is φ = 380955840.

The previous prime is 825404521. The next prime is 825404533.

825404528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 825404491 and 825404500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825404521) 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, 1983938 + ... + 1984353.

Almost surely, 2825404528 is an apocalyptic number.

It is an amenable number.

825404528 is an abundant number, since it is smaller than the sum of its proper divisors (896834200).

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

825404528 is a wasteful number, since it uses less digits than its factorization.

825404528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968312 (or 3968306 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 825404528 is about 28729.8542982731. The cubic root of 825404528 is about 938.0419964739.

The spelling of 825404528 in words is "eight hundred twenty-five million, four hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 3968291 7936582 15873164 31746328 51587783 63492656 103175566 206351132 412702264 825404528