Search a number
-
+
493001829 = 3343941593
BaseRepresentation
bin11101011000101…
…001110001100101
31021100200002101000
4131120221301211
52002202024304
6120530423513
715134306055
oct3530516145
91240602330
10493001829
11233317631
12119131b99
137b1a4978
1449693565
152d434939
hex1d629c65

493001829 has 16 divisors (see below), whose sum is σ = 732054400. Its totient is φ = 327911328.

The previous prime is 493001767. The next prime is 493001833. The reversal of 493001829 is 928100394.

It is not a de Polignac number, because 493001829 - 213 = 492993637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 493001793 and 493001802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493001429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8944 + ... + 32649.

It is an arithmetic number, because the mean of its divisors is an integer number (45753400).

Almost surely, 2493001829 is an apocalyptic number.

It is an amenable number.

493001829 is a deficient number, since it is larger than the sum of its proper divisors (239052571).

493001829 is a wasteful number, since it uses less digits than its factorization.

493001829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42041 (or 42035 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 493001829 is about 22203.6444981449. The cubic root of 493001829 is about 789.9801463792.

The spelling of 493001829 in words is "four hundred ninety-three million, one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 439 1317 3951 11853 41593 124779 374337 1123011 18259327 54777981 164333943 493001829