Search a number
-
+
493075905 = 35717216249
BaseRepresentation
bin11101011000111…
…011110111000001
31021100210211222120
4131120323313001
52002211412110
6120532154453
715135035040
oct3530736701
91240724876
10493075905
11233368253
12119168a29
137b1cc5ba
14496b2557
152d44b870
hex1d63bdc1

493075905 has 48 divisors (see below), whose sum is σ = 957840000. Its totient is φ = 212133888.

The previous prime is 493075873. The next prime is 493075937. The reversal of 493075905 is 509570394.

It is an interprime number because it is at equal distance from previous prime (493075873) and next prime (493075937).

It is not a de Polignac number, because 493075905 - 25 = 493075873 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22221 + ... + 38469.

It is an arithmetic number, because the mean of its divisors is an integer number (19955000).

Almost surely, 2493075905 is an apocalyptic number.

It is an amenable number.

493075905 is a deficient number, since it is larger than the sum of its proper divisors (464764095).

493075905 is a wasteful number, since it uses less digits than its factorization.

493075905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16298 (or 16281 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 493075905 is about 22205.3125400207. The cubic root of 493075905 is about 790.0197105588.

The spelling of 493075905 in words is "four hundred ninety-three million, seventy-five thousand, nine hundred five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 289 357 595 867 1445 1785 2023 4335 6069 10115 16249 30345 48747 81245 113743 243735 276233 341229 568715 828699 1381165 1706145 1933631 4143495 4695961 5800893 9668155 14087883 23479805 29004465 32871727 70439415 98615181 164358635 493075905