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518155040 = 255132310831
BaseRepresentation
bin11110111000100…
…110101100100000
31100010000000002102
4132320212230200
52030121430130
6123225505532
715561150044
oct3670465440
91303000072
10518155040
11246537607
121256422a8
1383470820
144cb60024
1530752645
hex1ee26b20

518155040 has 96 divisors (see below), whose sum is σ = 1375750656. Its totient is φ = 182983680.

The previous prime is 518155037. The next prime is 518155069. The reversal of 518155040 is 40551815.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 518154994 and 518155012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42425 + ... + 53255.

It is an arithmetic number, because the mean of its divisors is an integer number (14330736).

Almost surely, 2518155040 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 518155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687875328).

518155040 is an abundant number, since it is smaller than the sum of its proper divisors (857595616).

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

518155040 is a wasteful number, since it uses less digits than its factorization.

518155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 518155040 is about 22763.0191319166. The cubic root of 518155040 is about 803.1929890713.

The spelling of 518155040 in words is "five hundred eighteen million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 10831 11960 21662 23920 43324 47840 54155 86648 108310 140803 173296 216620 249113 281606 346592 433240 498226 563212 704015 866480 996452 1126424 1245565 1408030 1732960 1992904 2252848 2491130 2816060 3238469 3985808 4505696 4982260 5632120 6476938 7971616 9964520 11264240 12953876 16192345 19929040 22528480 25907752 32384690 39858080 51815504 64769380 103631008 129538760 259077520 518155040