Search a number
-
+
289408193 is a prime number
BaseRepresentation
bin10001010000000…
…000010011000001
3202011120110101222
4101100000103001
51043042030233
644415004425
710112633444
oct2120002301
9664513358
10289408193
111393aa728
1280b09715
1347c5ca69
142a61765b
151a61a898
hex114004c1

289408193 has 2 divisors, whose sum is σ = 289408194. Its totient is φ = 289408192.

The previous prime is 289408183. The next prime is 289408211. The reversal of 289408193 is 391804982.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289408144 + 49 = 17012^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 289408193 - 24 = 289408177 is a prime.

It is not a weakly prime, because it can be changed into another prime (289408123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144704096 + 144704097.

It is an arithmetic number, because the mean of its divisors is an integer number (144704097).

Almost surely, 2289408193 is an apocalyptic number.

It is an amenable number.

289408193 is a deficient number, since it is larger than the sum of its proper divisors (1).

289408193 is an equidigital number, since it uses as much as digits as its factorization.

289408193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 289408193 is about 17012.0014401598. The cubic root of 289408193 is about 661.4600314797.

The spelling of 289408193 in words is "two hundred eighty-nine million, four hundred eight thousand, one hundred ninety-three".