Search a number
-
+
516245772 = 223729372
BaseRepresentation
bin11110110001010…
…100100100001100
31022222102000001210
4132301110210030
52024124331042
6123120534420
715536005500
oct3661244414
91288360053
10516245772
112454530a9
12124a81410
1382c52793
144c7c4300
15304c6a9c
hex1ec5490c

516245772 has 54 divisors (see below), whose sum is σ = 1402735572. Its totient is φ = 147341376.

The previous prime is 516245767. The next prime is 516245773. The reversal of 516245772 is 277542615.

It is a self number, because there is not a number n which added to its sum of digits gives 516245772.

It is not an unprimeable number, because it can be changed into a prime (516245773) 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 17 ways as a sum of consecutive naturals, for example, 550488 + ... + 551424.

Almost surely, 2516245772 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 516245772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701367786).

516245772 is an abundant number, since it is smaller than the sum of its proper divisors (886489800).

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

516245772 is an equidigital number, since it uses as much as digits as its factorization.

516245772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 949 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 516245772 is about 22721.0424936885. The cubic root of 516245772 is about 802.2052550603.

The spelling of 516245772 in words is "five hundred sixteen million, two hundred forty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 937 1874 2811 3748 5622 6559 11244 13118 19677 26236 39354 45913 78708 91826 137739 183652 275478 550956 877969 1755938 2633907 3511876 5267814 6145783 10535628 12291566 18437349 24583132 36874698 43020481 73749396 86040962 129061443 172081924 258122886 516245772