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830782825 = 52254913037
BaseRepresentation
bin110001100001001…
…011110101101001
32010220021010210021
4301201023311221
53200140022300
6214234320441
726405352235
oct6141136551
92126233707
10830782825
11396a56484
121b2289121
13103170292
147c49d5c5
154ce07d1a
hex3184bd69

830782825 has 12 divisors (see below), whose sum is σ = 1030653900. Its totient is φ = 664314560.

The previous prime is 830782817. The next prime is 830782829. The reversal of 830782825 is 528287038.

830782825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 33454656 + 797328169 = 5784^2 + 28237^2 .

It is not a de Polignac number, because 830782825 - 23 = 830782817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830782829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57207 + ... + 70243.

It is an arithmetic number, because the mean of its divisors is an integer number (85887825).

Almost surely, 2830782825 is an apocalyptic number.

It is an amenable number.

830782825 is a deficient number, since it is larger than the sum of its proper divisors (199871075).

830782825 is a wasteful number, since it uses less digits than its factorization.

830782825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 830782825 is about 28823.3035060175. The cubic root of 830782825 is about 940.0749996745.

The spelling of 830782825 in words is "eight hundred thirty million, seven hundred eighty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 2549 12745 13037 63725 65185 325925 33231313 166156565 830782825