Search a number
-
+
249386461 is a prime number
BaseRepresentation
bin11101101110101…
…01010111011101
3122101021010220121
432313111113131
51002320331321
640425114541
76115515142
oct1667252735
9571233817
10249386461
11118854815
126b628a51
133c88936c
142519a3c9
1516d62441
hexedd55dd

249386461 has 2 divisors, whose sum is σ = 249386462. Its totient is φ = 249386460.

The previous prime is 249386453. The next prime is 249386491. The reversal of 249386461 is 164683942.

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., 216266436 + 33120025 = 14706^2 + 5755^2 .

It is a cyclic number.

It is not a de Polignac number, because 249386461 - 23 = 249386453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249386411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124693230 + 124693231.

It is an arithmetic number, because the mean of its divisors is an integer number (124693231).

Almost surely, 2249386461 is an apocalyptic number.

It is an amenable number.

249386461 is a deficient number, since it is larger than the sum of its proper divisors (1).

249386461 is an equidigital number, since it uses as much as digits as its factorization.

249386461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 43.

The square root of 249386461 is about 15791.9745757141. The cubic root of 249386461 is about 629.4447623291. Note that the first 3 decimals are identical.

The spelling of 249386461 in words is "two hundred forty-nine million, three hundred eighty-six thousand, four hundred sixty-one".