Search a number
-
+
504610040 = 235111146841
BaseRepresentation
bin11110000100111…
…011110011111000
31022011111211211202
4132010323303320
52013140010130
6122023313332
715335054204
oct3604736370
91264454752
10504610040
11239925aa0
12120bab848
138070a52c
144b035b04
152e479145
hex1e13bcf8

504610040 has 32 divisors (see below), whose sum is σ = 1238589360. Its totient is φ = 183494400.

The previous prime is 504610027. The next prime is 504610049. The reversal of 504610040 is 40016405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 504609994 and 504610021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504610049) 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 7 ways as a sum of consecutive naturals, for example, 572981 + ... + 573860.

Almost surely, 2504610040 is an apocalyptic number.

It is an amenable number.

504610040 is an abundant number, since it is smaller than the sum of its proper divisors (733979320).

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

504610040 is a wasteful number, since it uses less digits than its factorization.

504610040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146863 (or 1146859 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 504610040 is about 22463.5268824822. The cubic root of 504610040 is about 796.1323946681.

Adding to 504610040 its reverse (40016405), we get a palindrome (544626445).

The spelling of 504610040 in words is "five hundred four million, six hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1146841 2293682 4587364 5734205 9174728 11468410 12615251 22936820 25230502 45873640 50461004 63076255 100922008 126152510 252305020 504610040