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252289 is a prime number
BaseRepresentation
bin111101100110000001
3110211002001
4331212001
531033124
65224001
72100352
oct754601
9424061
10252289
11162604
12102001
138aaab
1467d29
154eb44
hex3d981

252289 has 2 divisors, whose sum is σ = 252290. Its totient is φ = 252288.

The previous prime is 252283. The next prime is 252293. The reversal of 252289 is 982252.

252289 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., 173889 + 78400 = 417^2 + 280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252289 is a prime.

It is an Ulam number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (252283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126144 + 126145.

It is an arithmetic number, because the mean of its divisors is an integer number (126145).

2252289 is an apocalyptic number.

It is an amenable number.

252289 is a deficient number, since it is larger than the sum of its proper divisors (1).

252289 is an equidigital number, since it uses as much as digits as its factorization.

252289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 252289 is about 502.2837843291. The cubic root of 252289 is about 63.1877326241.

The spelling of 252289 in words is "two hundred fifty-two thousand, two hundred eighty-nine".