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518193690 = 235714916561
BaseRepresentation
bin11110111000110…
…000001000011010
31100010001222002220
4132320300020122
52030124144230
6123230404510
715561400530
oct3670601032
91303058086
10518193690
11246563653
12125660736
13834852b1
144cb70150
153075dd10
hex1ee3021a

518193690 has 64 divisors (see below), whose sum is σ = 1430956800. Its totient is φ = 117642240.

The previous prime is 518193679. The next prime is 518193727. The reversal of 518193690 is 96391815.

It is a super-2 number, since 2×5181936902 = 537049400711632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23010 + ... + 39570.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2518193690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518193690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715478400).

518193690 is an abundant number, since it is smaller than the sum of its proper divisors (912763110).

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

518193690 is a wasteful number, since it uses less digits than its factorization.

518193690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 518193690 is about 22763.8680807986. The cubic root of 518193690 is about 803.2129590512.

The spelling of 518193690 in words is "five hundred eighteen million, one hundred ninety-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 447 745 894 1043 1490 2086 2235 3129 4470 5215 6258 10430 15645 16561 31290 33122 49683 82805 99366 115927 165610 231854 248415 347781 496830 579635 695562 1159270 1738905 2467589 3477810 4935178 7402767 12337945 14805534 17273123 24675890 34546246 37013835 51819369 74027670 86365615 103638738 172731230 259096845 518193690