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505523466 = 232728314177
BaseRepresentation
bin11110001000011…
…010110100001010
31022020020020211100
4132020122310022
52013403222331
6122055042230
715345610230
oct3610326412
91266206740
10505523466
1123a39a298
12121370376
138096a216
144b1d2950
152e5a9ae6
hex1e21ad0a

505523466 has 48 divisors (see below), whose sum is σ = 1256284224. Its totient is φ = 143914752.

The previous prime is 505523461. The next prime is 505523503. The reversal of 505523466 is 664325505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505523466.

It is not an unprimeable number, because it can be changed into a prime (505523461) 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 23 ways as a sum of consecutive naturals, for example, 28570 + ... + 42746.

It is an arithmetic number, because the mean of its divisors is an integer number (26172588).

Almost surely, 2505523466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505523466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628142112).

505523466 is an abundant number, since it is smaller than the sum of its proper divisors (750760758).

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

505523466 is a wasteful number, since it uses less digits than its factorization.

505523466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 505523466 is about 22483.8490032290. The cubic root of 505523466 is about 796.6124813513.

The spelling of 505523466 in words is "five hundred five million, five hundred twenty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 849 1698 1981 2547 3962 5094 5943 11886 14177 17829 28354 35658 42531 85062 99239 127593 198478 255186 297717 595434 893151 1786302 4012091 8024182 12036273 24072546 28084637 36108819 56169274 72217638 84253911 168507822 252761733 505523466