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414432589 is a prime number
BaseRepresentation
bin11000101100111…
…011110101001101
31001212211100122011
4120230323311031
51322043320324
6105042421221
713161422164
oct3054736515
91055740564
10414432589
111a2a3337a
12b6961811
1367b258ac
143d0803db
15265b4c94
hex18b3bd4d

414432589 has 2 divisors, whose sum is σ = 414432590. Its totient is φ = 414432588.

The previous prime is 414432563. The next prime is 414432611. The reversal of 414432589 is 985234414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225150025 + 189282564 = 15005^2 + 13758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414432589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414432089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207216294 + 207216295.

It is an arithmetic number, because the mean of its divisors is an integer number (207216295).

Almost surely, 2414432589 is an apocalyptic number.

It is an amenable number.

414432589 is a deficient number, since it is larger than the sum of its proper divisors (1).

414432589 is an equidigital number, since it uses as much as digits as its factorization.

414432589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138240, while the sum is 40.

The square root of 414432589 is about 20357.6174686529. The cubic root of 414432589 is about 745.5634906296.

It can be divided in two parts, 4144325 and 89, that added together give a palindrome (4144414).

The spelling of 414432589 in words is "four hundred fourteen million, four hundred thirty-two thousand, five hundred eighty-nine".