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264289 is a prime number
BaseRepresentation
bin1000000100001100001
3111102112111
41000201201
531424124
65355321
72150344
oct1004141
9442474
10264289
11170623
12108b41
13933ac
146c45b
1553494
hex40861

264289 has 2 divisors, whose sum is σ = 264290. Its totient is φ = 264288.

The previous prime is 264283. The next prime is 264301. The reversal of 264289 is 982462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134689 + 129600 = 367^2 + 360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264289 is a prime.

It is a d-powerful number, because it can be written as 2 + 6 + 211 + 49 + 8 + 92 .

It is a self number, because there is not a number n which added to its sum of digits gives 264289.

It is not a weakly prime, because it can be changed into another prime (264283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132144 + 132145.

It is an arithmetic number, because the mean of its divisors is an integer number (132145).

2264289 is an apocalyptic number.

It is an amenable number.

264289 is a deficient number, since it is larger than the sum of its proper divisors (1).

264289 is an equidigital number, since it uses as much as digits as its factorization.

264289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 264289 is about 514.0904589661. The cubic root of 264289 is about 64.1740865841.

The spelling of 264289 in words is "two hundred sixty-four thousand, two hundred eighty-nine".