Search a number
-
+
505369368 = 23347432591
BaseRepresentation
bin11110000111110…
…101001100011000
31022012221102110000
4132013311030120
52013333304433
6122051453000
715344366040
oct3607651430
91265842400
10505369368
1123a2a4539
121212b7160
138091503a
144b192720
152e579113
hex1e1f5318

505369368 has 160 divisors (see below), whose sum is σ = 1655976960. Its totient is φ = 140978880.

The previous prime is 505369351. The next prime is 505369373. The reversal of 505369368 is 863963505.

505369368 is a `hidden beast` number, since 50 + 536 + 9 + 3 + 68 = 666.

It is a super-2 number, since 2×5053693682 = 510796396225438848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193753 + ... + 196343.

It is an arithmetic number, because the mean of its divisors is an integer number (10349856).

Almost surely, 2505369368 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 505369368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827988480).

505369368 is an abundant number, since it is smaller than the sum of its proper divisors (1150607592).

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

505369368 is a wasteful number, since it uses less digits than its factorization.

505369368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 505369368 is about 22480.4218821623. The cubic root of 505369368 is about 796.5315297083.

The spelling of 505369368 in words is "five hundred five million, three hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1134 1161 1204 1512 1548 1806 2268 2322 2408 2591 2709 3096 3483 3612 4536 4644 5182 5418 6966 7224 7773 8127 9288 10364 10836 13932 15546 16254 18137 20728 21672 23319 24381 27864 31092 32508 36274 46638 48762 54411 62184 65016 69957 72548 93276 97524 108822 111413 139914 145096 163233 186552 195048 209871 217644 222826 279828 326466 334239 419742 435288 445652 489699 559656 652932 668478 779891 839484 891304 979398 1002717 1305864 1336956 1469097 1559782 1678968 1958796 2005434 2339673 2673912 2938194 3008151 3119564 3917592 4010868 4679346 5876388 6016302 6239128 7019019 8021736 9024453 9358692 11752776 12032604 14038038 18048906 18717384 21057057 24065208 28076076 36097812 42114114 56152152 63171171 72195624 84228228 126342342 168456456 252684684 505369368