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50835137 is a prime number
BaseRepresentation
bin1100000111101…
…0111011000001
310112122200200212
43001322323001
5101003211022
65013323505
71155043253
oct301727301
9115580625
1050835137
1126771211
1215036595
13a6bb582
146a73cd3
1546e23e2
hex307aec1

50835137 has 2 divisors, whose sum is σ = 50835138. Its totient is φ = 50835136.

The previous prime is 50835131. The next prime is 50835139. The reversal of 50835137 is 73153805.

50835137 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., 48497296 + 2337841 = 6964^2 + 1529^2 .

It is a cyclic number.

It is not a de Polignac number, because 50835137 - 28 = 50834881 is a prime.

It is a super-2 number, since 2×508351372 = 5168422307617538, which contains 22 as substring.

Together with 50835139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (50835131) 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, 25417568 + 25417569.

It is an arithmetic number, because the mean of its divisors is an integer number (25417569).

Almost surely, 250835137 is an apocalyptic number.

It is an amenable number.

50835137 is a deficient number, since it is larger than the sum of its proper divisors (1).

50835137 is an equidigital number, since it uses as much as digits as its factorization.

50835137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 50835137 is about 7129.8763663895. The cubic root of 50835137 is about 370.4429489333.

The spelling of 50835137 in words is "fifty million, eight hundred thirty-five thousand, one hundred thirty-seven".