Search a number
-
+
504030144 = 26317307503
BaseRepresentation
bin11110000010101…
…110001111000000
31022010102101101010
4132002232033000
52013012431034
6122003040520
715330120432
oct3602561700
91263371333
10504030144
1123956a342
12120970140
13805665b7
144ad24652
152e3b23e9
hex1e0ae3c0

504030144 has 112 divisors (see below), whose sum is σ = 1419441408. Its totient is φ = 157298688.

The previous prime is 504030143. The next prime is 504030167. The reversal of 504030144 is 441030405.

It is a self number, because there is not a number n which added to its sum of digits gives 504030144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504030143) 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 15 ways as a sum of consecutive naturals, for example, 1001797 + ... + 1002299.

It is an arithmetic number, because the mean of its divisors is an integer number (12673584).

Almost surely, 2504030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709720704).

504030144 is an abundant number, since it is smaller than the sum of its proper divisors (915411264).

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

504030144 is a wasteful number, since it uses less digits than its factorization.

504030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 504030144 is about 22450.6156708452. The cubic root of 504030144 is about 795.8273069641.

Adding to 504030144 its reverse (441030405), we get a palindrome (945060549).

The spelling of 504030144 in words is "five hundred four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 307 408 503 544 614 816 921 1006 1088 1228 1509 1632 1842 2012 2456 3018 3264 3684 4024 4912 5219 6036 7368 8048 8551 9824 10438 12072 14736 15657 16096 17102 19648 20876 24144 25653 29472 31314 32192 34204 41752 48288 51306 58944 62628 68408 83504 96576 102612 125256 136816 154421 167008 205224 250512 273632 308842 334016 410448 463263 501024 547264 617684 820896 926526 1002048 1235368 1641792 1853052 2470736 2625157 3706104 4941472 5250314 7412208 7875471 9882944 10500628 14824416 15750942 21001256 29648832 31501884 42002512 63003768 84005024 126007536 168010048 252015072 504030144