Search a number
-
+
426508513 is a prime number
BaseRepresentation
bin11001011011000…
…000000011100001
31002201112212200121
4121123000003201
51333141233023
6110153320241
713366156024
oct3133000341
91081485617
10426508513
111a9831182
12baa06081
136a493302
14409051bb
152769cd5d
hex196c00e1

426508513 has 2 divisors, whose sum is σ = 426508514. Its totient is φ = 426508512.

The previous prime is 426508507. The next prime is 426508517. The reversal of 426508513 is 315805624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405136384 + 21372129 = 20128^2 + 4623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-426508513 is a prime.

It is a super-2 number, since 2×4265085132 = 363819023322942338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (426508517) 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, 213254256 + 213254257.

It is an arithmetic number, because the mean of its divisors is an integer number (213254257).

Almost surely, 2426508513 is an apocalyptic number.

It is an amenable number.

426508513 is a deficient number, since it is larger than the sum of its proper divisors (1).

426508513 is an equidigital number, since it uses as much as digits as its factorization.

426508513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 426508513 is about 20652.0825342143. The cubic root of 426508513 is about 752.7357939229.

The spelling of 426508513 in words is "four hundred twenty-six million, five hundred eight thousand, five hundred thirteen".