Search a number
-
+
289374733 is a prime number
BaseRepresentation
bin10001001111111…
…000001000001101
3202011111202111201
4101033320020031
51043034442413
644414145501
710112434054
oct2117701015
9664452451
10289374733
1113938757a
1280ab2291
1347c4a76b
142a60939b
151a6109dd
hex113f820d

289374733 has 2 divisors, whose sum is σ = 289374734. Its totient is φ = 289374732.

The previous prime is 289374721. The next prime is 289374737. The reversal of 289374733 is 337473982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165431044 + 123943689 = 12862^2 + 11133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289374733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289374737) 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, 144687366 + 144687367.

It is an arithmetic number, because the mean of its divisors is an integer number (144687367).

Almost surely, 2289374733 is an apocalyptic number.

It is an amenable number.

289374733 is a deficient number, since it is larger than the sum of its proper divisors (1).

289374733 is an equidigital number, since it uses as much as digits as its factorization.

289374733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 46.

The square root of 289374733 is about 17011.0179883510. The cubic root of 289374733 is about 661.4345388754.

It can be divided in two parts, 28937 and 4733, that added together give a triangular number (33670 = T259).

The spelling of 289374733 in words is "two hundred eighty-nine million, three hundred seventy-four thousand, seven hundred thirty-three".