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818404818 = 2371110117539
BaseRepresentation
bin110000110001111…
…101110111010010
32010000222021100120
4300301331313102
53134002423233
6213113131110
726165216610
oct6061756722
92100867316
10818404818
1138aa71720
121aa0b9a96
1310072820a
147a99a6b0
154bcb04b3
hex30c7ddd2

818404818 has 64 divisors (see below), whose sum is σ = 2061020160. Its totient is φ = 210456000.

The previous prime is 818404789. The next prime is 818404823.

818404818 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8184048182 = 1339572892251226248, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 818404818.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37893 + ... + 55431.

It is an arithmetic number, because the mean of its divisors is an integer number (32203440).

Almost surely, 2818404818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818404818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030510080).

818404818 is an abundant number, since it is smaller than the sum of its proper divisors (1242615342).

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

818404818 is a wasteful number, since it uses less digits than its factorization.

818404818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17663.

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 818404818 is about 28607.7754815015. The cubic root of 818404818 is about 935.3828274003.

The spelling of 818404818 in words is "eight hundred eighteen million, four hundred four thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 15554 17539 23331 35078 46662 52617 105234 122773 192929 245546 368319 385858 578787 736638 1157574 1350503 1771439 2701006 3542878 4051509 5314317 8103018 10628634 12400073 19485829 24800146 37200219 38971658 58457487 74400438 116914974 136400803 272801606 409202409 818404818