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825320241 = 3291702249
BaseRepresentation
bin110001001100010…
…110001100110001
32010111222121112100
4301030112030301
53142240221431
6213521251013
726311051314
oct6114261461
92114877470
10825320241
11393965349
121b0493a69
13101ca9a95
147b87a97b
154c6c94e6
hex31316331

825320241 has 6 divisors (see below), whose sum is σ = 1192129250. Its totient is φ = 550213488.

The previous prime is 825320183. The next prime is 825320263. The reversal of 825320241 is 142023528.

It can be written as a sum of positive squares in only one way, i.e., 806787216 + 18533025 = 28404^2 + 4305^2 .

It is not a de Polignac number, because 825320241 - 213 = 825312049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825321241) 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 5 ways as a sum of consecutive naturals, for example, 45851116 + ... + 45851133.

Almost surely, 2825320241 is an apocalyptic number.

It is an amenable number.

825320241 is a deficient number, since it is larger than the sum of its proper divisors (366809009).

825320241 is a wasteful number, since it uses less digits than its factorization.

825320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91702255 (or 91702252 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 825320241 is about 28728.3873720750. The cubic root of 825320241 is about 938.0100656915.

Adding to 825320241 its reverse (142023528), we get a palindrome (967343769).

The spelling of 825320241 in words is "eight hundred twenty-five million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 91702249 275106747 825320241