Search a number
-
+
504505300 = 225213388081
BaseRepresentation
bin11110000100100…
…010001111010100
31022011022112011111
4132010202033110
52013123132200
6122021144404
715334136635
oct3604421724
91264275144
10504505300
11239864332
12120b5b104
13806a1960
144b00988c
152e4580ba
hex1e1223d4

504505300 has 36 divisors (see below), whose sum is σ = 1178993116. Its totient is φ = 186278400.

The previous prime is 504505289. The next prime is 504505307. The reversal of 504505300 is 3505405.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 223741764 + 280763536 = 14958^2 + 16756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504505307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192741 + ... + 195340.

Almost surely, 2504505300 is an apocalyptic number.

504505300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

504505300 is an abundant number, since it is smaller than the sum of its proper divisors (674487816).

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

504505300 is a wasteful number, since it uses less digits than its factorization.

504505300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388108 (or 388101 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 504505300 is about 22461.1954267799. The cubic root of 504505300 is about 796.0773074585.

The spelling of 504505300 in words is "five hundred four million, five hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 388081 776162 1552324 1940405 3880810 5045053 7761620 9702025 10090106 19404050 20180212 25225265 38808100 50450530 100901060 126126325 252252650 504505300