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52086241 is a prime number
BaseRepresentation
bin1100011010110…
…0010111100001
310122000020220001
43012230113201
5101313224431
65100220001
71201503634
oct306542741
9118006801
1052086241
1127446189
121553a601
13aa38b7c
146cbbc1b
15488ce61
hex31ac5e1

52086241 has 2 divisors, whose sum is σ = 52086242. Its totient is φ = 52086240.

The previous prime is 52086217. The next prime is 52086259. The reversal of 52086241 is 14268025.

52086241 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., 28037025 + 24049216 = 5295^2 + 4904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52086241 is a prime.

It is not a weakly prime, because it can be changed into another prime (52086211) 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, 26043120 + 26043121.

It is an arithmetic number, because the mean of its divisors is an integer number (26043121).

Almost surely, 252086241 is an apocalyptic number.

It is an amenable number.

52086241 is a deficient number, since it is larger than the sum of its proper divisors (1).

52086241 is an equidigital number, since it uses as much as digits as its factorization.

52086241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 52086241 is about 7217.0798111147. The cubic root of 52086241 is about 373.4573449804.

It can be divided in two parts, 5208 and 6241, that added together give a square (11449 = 1072).

The spelling of 52086241 in words is "fifty-two million, eighty-six thousand, two hundred forty-one".