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5968825 = 52257929
BaseRepresentation
bin10110110001001110111001
3102020020200121
4112301032321
53012000300
6331533241
7101506552
oct26611671
912206617
105968825
113407515
121bba221
13130ca65
14b15329
157cd81a
hex5b13b9

5968825 has 12 divisors (see below), whose sum is σ = 7438140. Its totient is φ = 4751360.

The previous prime is 5968817. The next prime is 5968843. The reversal of 5968825 is 5288695.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 5861241 = 328^2 + 2421^2 .

It is not a de Polignac number, because 5968825 - 23 = 5968817 is a prime.

5968825 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5961 + ... + 6889.

It is an arithmetic number, because the mean of its divisors is an integer number (619845).

Almost surely, 25968825 is an apocalyptic number.

It is an amenable number.

5968825 is a deficient number, since it is larger than the sum of its proper divisors (1469315).

5968825 is a wasteful number, since it uses less digits than its factorization.

5968825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1191 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 5968825 is about 2443.1178849986. The cubic root of 5968825 is about 181.3967974436.

The spelling of 5968825 in words is "five million, nine hundred sixty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 25 257 929 1285 4645 6425 23225 238753 1193765 5968825