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248033 is a prime number
BaseRepresentation
bin111100100011100001
3110121020102
4330203201
530414113
65152145
72052062
oct744341
9417212
10248033
1115a395
12bb655
1388b86
1466569
154d758
hex3c8e1

248033 has 2 divisors, whose sum is σ = 248034. Its totient is φ = 248032.

The previous prime is 248021. The next prime is 248041. The reversal of 248033 is 330842.

248033 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., 247009 + 1024 = 497^2 + 32^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248033 is a prime.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 247996 and 248014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248033.

It is not a weakly prime, because it can be changed into another prime (248063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124016 + 124017.

It is an arithmetic number, because the mean of its divisors is an integer number (124017).

2248033 is an apocalyptic number.

It is an amenable number.

248033 is a deficient number, since it is larger than the sum of its proper divisors (1).

248033 is an equidigital number, since it uses as much as digits as its factorization.

248033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 248033 is about 498.0291156147. The cubic root of 248033 is about 62.8303996329.

Adding to 248033 its reverse (330842), we get a palindrome (578875).

The spelling of 248033 in words is "two hundred forty-eight thousand, thirty-three".