Search a number
-
+
512716968 = 233235320173
BaseRepresentation
bin11110100011110…
…111000010101000
31022201202201110100
4132203313002220
52022223420333
6122513145400
715464010441
oct3643670250
91281681410
10512716968
11243462935
1212385b260
13822b852a
144c1462c8
153002b213
hex1e8f70a8

512716968 has 48 divisors (see below), whose sum is σ = 1392611220. Its totient is φ = 170413056.

The previous prime is 512716961. The next prime is 512716969. The reversal of 512716968 is 869617215.

512716968 is a `hidden beast` number, since 512 + 71 + 6 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 460617444 + 52099524 = 21462^2 + 7218^2 .

It is a super-2 number, since 2×5127169682 = 525757378550226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512716961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15330 + ... + 35502.

Almost surely, 2512716968 is an apocalyptic number.

It is an amenable number.

512716968 is an abundant number, since it is smaller than the sum of its proper divisors (879894252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512716968 is a wasteful number, since it uses less digits than its factorization.

512716968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538 (or 20531 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 512716968 is about 22643.2543597426. The cubic root of 512716968 is about 800.3732466649.

The spelling of 512716968 in words is "five hundred twelve million, seven hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 20173 25416 40346 60519 80692 121038 161384 181557 242076 363114 484152 726228 1452456 7121069 14242138 21363207 28484276 42726414 56968552 64089621 85452828 128179242 170905656 256358484 512716968