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825093282 = 231313180749
BaseRepresentation
bin110001001011011…
…110110010100010
32010111120002012110
4301023132302202
53142210441112
6213512340150
726306114526
oct6113366242
92114502173
10825093282
1139381a882
121b03a4656
13101c2a6a0
147b81bd86
154c68213c
hex312deca2

825093282 has 32 divisors (see below), whose sum is σ = 1790712000. Its totient is φ = 251933760.

The previous prime is 825093253. The next prime is 825093293. The reversal of 825093282 is 282390528.

825093282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 825093282.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30157 + ... + 50592.

It is an arithmetic number, because the mean of its divisors is an integer number (55959750).

Almost surely, 2825093282 is an apocalyptic number.

825093282 is an abundant number, since it is smaller than the sum of its proper divisors (965618718).

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

825093282 is a wasteful number, since it uses less digits than its factorization.

825093282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80898.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 825093282 is about 28724.4370179817. The cubic root of 825093282 is about 937.9240750932.

The spelling of 825093282 in words is "eight hundred twenty-five million, ninety-three thousand, two hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 393 786 1703 3406 5109 10218 80749 161498 242247 484494 1049737 2099474 3149211 6298422 10578119 21156238 31734357 63468714 137515547 275031094 412546641 825093282