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494261824 = 26723972
BaseRepresentation
bin11101011101011…
…101011001000000
31021110001002202111
4131131131121000
52003012334244
6121013425104
715151104400
oct3535353100
91243032674
10494261824
11233aa8251
1211963b194
137b526324
1449900800
152d5d2e34
hex1d75d640

494261824 has 63 divisors (see below), whose sum is σ = 1143812673. Its totient is φ = 211292928.

The previous prime is 494261813. The next prime is 494261843. The reversal of 494261824 is 428162494.

The square root of 494261824 is 22232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 331240000 + 163021824 = 18200^2 + 12768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1244794 + ... + 1245190.

Almost surely, 2494261824 is an apocalyptic number.

494261824 is the 22232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494261824

494261824 is an abundant number, since it is smaller than the sum of its proper divisors (649550849).

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

494261824 is an frugal number, since it uses more digits than its factorization.

494261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 406 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The cubic root of 494261824 is about 790.6525740804.

It can be divided in two parts, 4942 and 61824, that added together give a palindrome (66766).

The spelling of 494261824 in words is "four hundred ninety-four million, two hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 397 448 784 794 1568 1588 2779 3136 3176 5558 6352 11116 12704 19453 22232 25408 38906 44464 77812 88928 155624 157609 177856 311248 315218 622496 630436 1103263 1244992 1260872 2206526 2521744 4413052 5043488 7722841 8826104 10086976 15445682 17652208 30891364 35304416 61782728 70608832 123565456 247130912 494261824