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809793072 = 243311198969
BaseRepresentation
bin110000010001000…
…111011000110000
32002102202202021000
4300101013120300
53124301334242
6212204402000
726032061514
oct6021073060
92072682230
10809793072
1138611a580
121a7246300
13cba014ca
1479798144
154b15da4c
hex30447630

809793072 has 160 divisors (see below), whose sum is σ = 2669472000. Its totient is φ = 232450560.

The previous prime is 809793031. The next prime is 809793073. The reversal of 809793072 is 270397908.

It is not an unprimeable number, because it can be changed into a prime (809793073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85804 + ... + 94772.

It is an arithmetic number, because the mean of its divisors is an integer number (16684200).

Almost surely, 2809793072 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 809793072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334736000).

809793072 is an abundant number, since it is smaller than the sum of its proper divisors (1859678928).

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

809793072 is a wasteful number, since it uses less digits than its factorization.

809793072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 809793072 is about 28456.8633549097. The cubic root of 809793072 is about 932.0903655925.

It can be divided in two parts, 809 and 793072, that added together give a square (793881 = 8912).

The spelling of 809793072 in words is "eight hundred nine million, seven hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5643 7524 8208 8969 10032 11286 15048 17938 22572 26907 30096 35876 45144 53814 71752 80721 90288 98659 107628 143504 161442 170411 197318 215256 242163 295977 322884 340822 394636 430512 484326 511233 591954 645768 681644 789272 887931 968652 1022466 1183908 1291536 1363288 1533699 1578544 1775862 1874521 1937304 2044932 2367816 2663793 2726576 3067398 3551724 3749042 3874608 4089864 4601097 4735632 5327586 5623563 6134796 7103448 7498084 8179728 9202194 10655172 11247126 12269592 14206896 14996168 16870689 18404388 21310344 22494252 24539184 29992336 33741378 36808776 42620688 44988504 50612067 67482756 73617552 89977008 101224134 134965512 202448268 269931024 404896536 809793072