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818341472 = 25132331289
BaseRepresentation
bin110000110001101…
…110011001100000
32010000212001110102
4300301232121200
53133443411342
6213111521532
726164534124
oct6061563140
92100761412
10818341472
1138aa29073
121aa0892a8
13100705430
147a981584
154bc9b832
hex30c6e660

818341472 has 144 divisors (see below), whose sum is σ = 1891784160. Its totient is φ = 345692160.

The previous prime is 818341451. The next prime is 818341477. The reversal of 818341472 is 274143818.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818341477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9194804 + ... + 9194892.

It is an arithmetic number, because the mean of its divisors is an integer number (13137390).

Almost surely, 2818341472 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 818341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945892080).

818341472 is an abundant number, since it is smaller than the sum of its proper divisors (1073442688).

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

818341472 is a wasteful number, since it uses less digits than its factorization.

818341472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 158 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 818341472 is about 28606.6683135244. The cubic root of 818341472 is about 935.3586933417.

The spelling of 818341472 in words is "eight hundred eighteen million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 89 92 104 124 178 184 208 248 299 356 368 403 416 496 598 712 713 736 806 961 992 1157 1196 1424 1426 1612 1922 2047 2314 2392 2759 2848 2852 3224 3844 4094 4628 4784 5518 5704 6448 7688 8188 9256 9269 9568 11036 11408 12493 12896 15376 16376 18512 18538 22072 22103 22816 24986 26611 30752 32752 35867 37024 37076 44144 44206 49972 53222 63457 65504 71734 74152 85529 88288 88412 99944 106444 126914 143468 148304 171058 176824 199888 212888 253828 286936 287339 296608 342116 353648 399776 425776 507656 573872 574678 684232 707296 824941 851552 1015312 1111877 1147744 1149356 1368464 1649882 1967167 2030624 2223754 2298712 2736928 3299764 3934334 4447508 4597424 6599528 7868668 8895016 9194848 13199056 15737336 17790032 25573171 26398112 31474672 35580064 51146342 62949344 102292684 204585368 409170736 818341472