Search a number
-
+
505220535 = 32517679857
BaseRepresentation
bin11110000111010…
…000110110110111
31022012122212021200
4132013100312313
52013314024120
6122044343543
715343206111
oct3607206667
91265585250
10505220535
1123a202736
12121244bb3
1380892381
144b1543b1
152e549e90
hex1e1d0db7

505220535 has 48 divisors (see below), whose sum is σ = 941162976. Its totient is φ = 249790464.

The previous prime is 505220489. The next prime is 505220557. The reversal of 505220535 is 535022505.

It is not a de Polignac number, because 505220535 - 210 = 505219511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505220499 and 505220508.

It is a congruent 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, 46327 + ... + 56183.

It is an arithmetic number, because the mean of its divisors is an integer number (19607562).

Almost surely, 2505220535 is an apocalyptic number.

505220535 is a deficient number, since it is larger than the sum of its proper divisors (435942441).

505220535 is a wasteful number, since it uses less digits than its factorization.

505220535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 505220535 is about 22477.1113580015. Note that the first 3 decimals coincide. The cubic root of 505220535 is about 796.4533282815.

The spelling of 505220535 in words is "five hundred five million, two hundred twenty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 67 85 153 201 255 335 603 765 1005 1139 3015 3417 5695 9857 10251 17085 29571 49285 51255 88713 147855 167569 443565 502707 660419 837845 1508121 1981257 2513535 3302095 5943771 7540605 9906285 11227123 29718855 33681369 56135615 101044107 168406845 505220535