Search a number
-
+
505399944 = 233731531831
BaseRepresentation
bin11110000111111…
…100101010001000
31022012222222101110
4132013330222020
52013340244234
6122052250320
715344554140
oct3607745210
91265888343
10505399944
1123a315505
121213109a0
1380925c2a
144b19d920
152e5831e9
hex1e1fca88

505399944 has 128 divisors (see below), whose sum is σ = 1519534080. Its totient is φ = 137030400.

The previous prime is 505399933. The next prime is 505399963. The reversal of 505399944 is 449993505.

It is a junction number, because it is equal to n+sod(n) for n = 505399893 and 505399902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275109 + ... + 276939.

It is an arithmetic number, because the mean of its divisors is an integer number (11871360).

Almost surely, 2505399944 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 505399944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759767040).

505399944 is an abundant number, since it is smaller than the sum of its proper divisors (1014134136).

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

505399944 is a wasteful number, since it uses less digits than its factorization.

505399944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 505399944 is about 22481.1019302880. The cubic root of 505399944 is about 796.5475933761.

The spelling of 505399944 in words is "five hundred five million, three hundred ninety-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 53 56 62 84 93 106 124 159 168 186 212 217 248 318 371 372 424 434 636 651 742 744 868 1113 1272 1302 1484 1643 1736 1831 2226 2604 2968 3286 3662 4452 4929 5208 5493 6572 7324 8904 9858 10986 11501 12817 13144 14648 19716 21972 23002 25634 34503 38451 39432 43944 46004 51268 56761 69006 76902 92008 97043 102536 113522 138012 153804 170283 194086 227044 276024 291129 307608 340566 388172 397327 454088 582258 679301 681132 776344 794654 1164516 1191981 1358602 1362264 1589308 2037903 2329032 2383962 2717204 3008333 3178616 4075806 4767924 5434408 6016666 8151612 9024999 9535848 12033332 16303224 18049998 21058331 24066664 36099996 42116662 63174993 72199992 84233324 126349986 168466648 252699972 505399944