Search a number
-
+
505322841 = 317196183103
BaseRepresentation
bin11110000111101…
…001110101011001
31022012212001121210
4132013221311121
52013330312331
6122050453333
715344113302
oct3607516531
91265761553
10505322841
1123a272591
12121294249
13808c9aca
144b17d7a9
152e56a446
hex1e1e9d59

505322841 has 64 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 289059840.

The previous prime is 505322837. The next prime is 505322899. The reversal of 505322841 is 148223505.

It is not a de Polignac number, because 505322841 - 22 = 505322837 is a prime.

It is a super-2 number, since 2×5053228412 = 510702347272622562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505322799 and 505322808.

It is not an unprimeable number, because it can be changed into a prime (505322821) 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 63 ways as a sum of consecutive naturals, for example, 4905996 + ... + 4906098.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2505322841 is an apocalyptic number.

505322841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

505322841 is a deficient number, since it is larger than the sum of its proper divisors (274627239).

505322841 is a wasteful number, since it uses less digits than its factorization.

505322841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 505322841 is about 22479.3870245610. The cubic root of 505322841 is about 796.5070846441.

The spelling of 505322841 in words is "five hundred five million, three hundred twenty-two thousand, eight hundred forty-one".

Divisors: 1 3 17 19 51 57 61 83 103 183 249 309 323 969 1037 1159 1411 1577 1751 1957 3111 3477 4233 4731 5063 5253 5871 6283 8549 15189 18849 19703 25647 26809 33269 59109 80427 86071 96197 99807 106811 119377 145333 162431 258213 288591 320433 358131 435999 487293 521489 1564467 1635349 2029409 2761327 4906047 6088227 8283981 8865313 9908291 26595939 29724873 168440947 505322841