Search a number
-
+
480649237 is a prime number
BaseRepresentation
bin11100101001100…
…010000000010101
31020111102111210121
4130221202000111
51441021233422
6115405551541
714624310505
oct3451420025
91214374717
10480649237
1122734a982
12114b755b1
137876b343
1447b99a05
152c2e48c7
hex1ca62015

480649237 has 2 divisors, whose sum is σ = 480649238. Its totient is φ = 480649236.

The previous prime is 480649207. The next prime is 480649249. The reversal of 480649237 is 732946084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 338228881 + 142420356 = 18391^2 + 11934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-480649237 is a prime.

It is a super-3 number, since 3×4806492373 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480649193 and 480649202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480649207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240324618 + 240324619.

It is an arithmetic number, because the mean of its divisors is an integer number (240324619).

Almost surely, 2480649237 is an apocalyptic number.

It is an amenable number.

480649237 is a deficient number, since it is larger than the sum of its proper divisors (1).

480649237 is an equidigital number, since it uses as much as digits as its factorization.

480649237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 480649237 is about 21923.7140329826. The cubic root of 480649237 is about 783.3263798789.

The spelling of 480649237 in words is "four hundred eighty million, six hundred forty-nine thousand, two hundred thirty-seven".