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459985393 = 729387457
BaseRepresentation
bin11011011010101…
…101000111110001
31012001112200100001
4123122231013301
51420224013033
6113351030001
714253545200
oct3332550761
91161480301
10459985393
1121671691a
1210a06b301
13743b4a0a
144513b237
152a5b1e7d
hex1b6ad1f1

459985393 has 6 divisors (see below), whose sum is σ = 535085106. Its totient is φ = 394273152.

The previous prime is 459985367. The next prime is 459985397. The reversal of 459985393 is 393589954.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 230523489 + 229461904 = 15183^2 + 15148^2 .

It is a de Polignac number, because none of the positive numbers 2k-459985393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459985397) 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 in 5 ways as a sum of consecutive naturals, for example, 4693680 + ... + 4693777.

It is an arithmetic number, because the mean of its divisors is an integer number (89180851).

Almost surely, 2459985393 is an apocalyptic number.

It is an amenable number.

459985393 is a deficient number, since it is larger than the sum of its proper divisors (75099713).

459985393 is an equidigital number, since it uses as much as digits as its factorization.

459985393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387471 (or 9387464 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 55.

The square root of 459985393 is about 21447.2700593805. The cubic root of 459985393 is about 771.9360919875.

The spelling of 459985393 in words is "four hundred fifty-nine million, nine hundred eighty-five thousand, three hundred ninety-three".

Divisors: 1 7 49 9387457 65712199 459985393