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457495065 = 32565315569
BaseRepresentation
bin11011010001001…
…101001000011001
31011212212011020200
4123101031020121
51414104320230
6113221412413
714223433566
oct3321151031
91155764220
10457495065
112152758a5
1210926a109
1373a22351
1444a8d86d
152a26e160
hex1b44d219

457495065 has 24 divisors (see below), whose sum is σ = 794256840. Its totient is φ = 243608064.

The previous prime is 457495061. The next prime is 457495067. The reversal of 457495065 is 560594754.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 451265049 = 2496^2 + 21243^2 .

It is not a de Polignac number, because 457495065 - 22 = 457495061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 457495065.

It is not an unprimeable number, because it can be changed into a prime (457495061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21601 + ... + 37169.

It is an arithmetic number, because the mean of its divisors is an integer number (33094035).

Almost surely, 2457495065 is an apocalyptic number.

457495065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457495065 is a deficient number, since it is larger than the sum of its proper divisors (336761775).

457495065 is a wasteful number, since it uses less digits than its factorization.

457495065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16233 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 457495065 is about 21389.1342742057. The cubic root of 457495065 is about 770.5405014867.

The spelling of 457495065 in words is "four hundred fifty-seven million, four hundred ninety-five thousand, sixty-five".

Divisors: 1 3 5 9 15 45 653 1959 3265 5877 9795 15569 29385 46707 77845 140121 233535 700605 10166557 30499671 50832785 91499013 152498355 457495065