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50033 is a prime number
BaseRepresentation
bin1100001101110001
32112122002
430031301
53100113
61023345
7265604
oct141561
975562
1050033
1134655
1224b55
1319a09
141433b
15ec58
hexc371

50033 has 2 divisors, whose sum is σ = 50034. Its totient is φ = 50032.

The previous prime is 50023. The next prime is 50047. The reversal of 50033 is 33005.

50033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 20449 = 172^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 50033 - 210 = 49009 is a prime.

It is a Chen prime.

50033 is a modest number, since divided by 33 gives 5 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 49996 and 50023.

It is not a weakly prime, because it can be changed into another prime (50023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25016 + 25017.

It is an arithmetic number, because the mean of its divisors is an integer number (25017).

250033 is an apocalyptic number.

It is an amenable number.

50033 is a deficient number, since it is larger than the sum of its proper divisors (1).

50033 is an equidigital number, since it uses as much as digits as its factorization.

50033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 50033 is about 223.6805758219. The cubic root of 50033 is about 36.8484180733.

Adding to 50033 its reverse (33005), we get a palindrome (83038).

The spelling of 50033 in words is "fifty thousand, thirty-three".