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518682390 = 235314161223
BaseRepresentation
bin11110111010100…
…111011100010110
31100010222210110220
4132322213130112
52030240314030
6123245055210
715565504362
oct3672473426
91303883426
10518682390
11246867836
12125857506
13835c6875
144cc5a2a2
1530808a10
hex1eea7716

518682390 has 128 divisors (see below), whose sum is σ = 1343913984. Its totient is φ = 127872000.

The previous prime is 518682337. The next prime is 518682397. The reversal of 518682390 is 93286815.

It is a super-2 number, since 2×5186823902 = 538062843392224200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518682397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2325819 + ... + 2326041.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2518682390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518682390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671956992).

518682390 is an abundant number, since it is smaller than the sum of its proper divisors (825231594).

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

518682390 is a wasteful number, since it uses less digits than its factorization.

518682390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 518682390 is about 22774.5996671731. The cubic root of 518682390 is about 803.4653787216.

The spelling of 518682390 in words is "five hundred eighteen million, six hundred eighty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 41 61 62 82 93 122 123 155 183 186 205 223 246 305 310 366 410 446 465 610 615 669 915 930 1115 1230 1271 1338 1830 1891 2230 2501 2542 3345 3782 3813 5002 5673 6355 6690 6913 7503 7626 9143 9455 11346 12505 12710 13603 13826 15006 18286 18910 19065 20739 25010 27206 27429 28365 34565 37515 38130 40809 41478 45715 54858 56730 68015 69130 75030 77531 81618 91430 103695 136030 137145 155062 204045 207390 232593 274290 283433 387655 408090 421693 465186 557723 566866 775310 843386 850299 1115446 1162965 1265079 1417165 1673169 1700598 2108465 2325930 2530158 2788615 2834330 3346338 4216930 4251495 5577230 6325395 8365845 8502990 12650790 16731690 17289413 34578826 51868239 86447065 103736478 172894130 259341195 518682390