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825828075 = 33521223449
BaseRepresentation
bin110001001110010…
…010001011101011
32010112221102011000
4301032102023223
53142402444300
6213540210043
726315265012
oct6116221353
92115842130
10825828075
11394181946
121b0699923
13102126c87
147b96da79
154c779c00
hex313922eb

825828075 has 24 divisors (see below), whose sum is σ = 1517078000. Its totient is φ = 440441280.

The previous prime is 825828071. The next prime is 825828149. The reversal of 825828075 is 570828528.

825828075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825828075 - 22 = 825828071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 825828075.

It is not an unprimeable number, because it can be changed into a prime (825828071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611050 + ... + 612399.

Almost surely, 2825828075 is an apocalyptic number.

825828075 is a deficient number, since it is larger than the sum of its proper divisors (691249925).

825828075 is a wasteful number, since it uses less digits than its factorization.

825828075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223468 (or 1223457 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 825828075 is about 28737.2245528339. The cubic root of 825828075 is about 938.2024175854.

The spelling of 825828075 in words is "eight hundred twenty-five million, eight hundred twenty-eight thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 1223449 3670347 6117245 11011041 18351735 30586225 33033123 55055205 91758675 165165615 275276025 825828075