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818489664 = 26332631801
BaseRepresentation
bin110000110010010…
…010100101000000
32010001010120202000
4300302102211000
53134013132124
6213115024000
726166022146
oct6062224500
92101116660
10818489664
1139001a443
121aa13b000
13100757a15
147a9bd596
154bcca6c9
hex30c92940

818489664 has 112 divisors (see below), whose sum is σ = 2416698240. Its totient is φ = 271641600.

The previous prime is 818489663. The next prime is 818489669. The reversal of 818489664 is 466984818.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 818489664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818489663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453564 + ... + 455364.

Almost surely, 2818489664 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 818489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208349120).

818489664 is an abundant number, since it is smaller than the sum of its proper divisors (1598208576).

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

818489664 is a wasteful number, since it uses less digits than its factorization.

818489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2069 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 818489664 is about 28609.2583615864. The cubic root of 818489664 is about 935.4151507473.

The spelling of 818489664 in words is "eight hundred eighteen million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 263 288 432 526 576 789 864 1052 1578 1728 1801 2104 2367 3156 3602 4208 4734 5403 6312 7101 7204 8416 9468 10806 12624 14202 14408 16209 16832 18936 21612 25248 28404 28816 32418 37872 43224 48627 50496 56808 57632 64836 75744 86448 97254 113616 115264 129672 151488 172896 194508 227232 259344 345792 389016 454464 473663 518688 778032 947326 1037376 1420989 1556064 1894652 2841978 3112128 3789304 4262967 5683956 7578608 8525934 11367912 12788901 15157216 17051868 22735824 25577802 30314432 34103736 45471648 51155604 68207472 90943296 102311208 136414944 204622416 272829888 409244832 818489664