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52985633 is a prime number
BaseRepresentation
bin1100101000011…
…1111100100001
310200200221121212
43022013330201
5102031020013
65131355505
71212241031
oct312077441
9120627555
1052985633
11279aa988
12158b2b95
13ac9235c
1470738c1
1549b96a8
hex3287f21

52985633 has 2 divisors, whose sum is σ = 52985634. Its totient is φ = 52985632.

The previous prime is 52985573. The next prime is 52985671. The reversal of 52985633 is 33658925.

52985633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29724304 + 23261329 = 5452^2 + 4823^2 .

It is a cyclic number.

It is not a de Polignac number, because 52985633 - 210 = 52984609 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (52985683) 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 as a sum of consecutive naturals, namely, 26492816 + 26492817.

It is an arithmetic number, because the mean of its divisors is an integer number (26492817).

Almost surely, 252985633 is an apocalyptic number.

It is an amenable number.

52985633 is a deficient number, since it is larger than the sum of its proper divisors (1).

52985633 is an equidigital number, since it uses as much as digits as its factorization.

52985633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 194400, while the sum is 41.

The square root of 52985633 is about 7279.1230927908. The cubic root of 52985633 is about 375.5946311237.

The spelling of 52985633 in words is "fifty-two million, nine hundred eighty-five thousand, six hundred thirty-three".