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809684442 = 232789103701
BaseRepresentation
bin110000010000101…
…100110111011010
32002102120020020200
4300100230313122
53124234400232
6212202203030
726031130020
oct6020546732
92072506220
10809684442
113860559a6
121a71b3476
13cb993c28
147976a710
154b13b77c
hex3042cdda

809684442 has 96 divisors (see below), whose sum is σ = 2050064640. Its totient is φ = 226195200.

The previous prime is 809684429. The next prime is 809684471. The reversal of 809684442 is 244486908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154692 + ... + 1155392.

It is an arithmetic number, because the mean of its divisors is an integer number (21354840).

Almost surely, 2809684442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809684442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025032320).

809684442 is an abundant number, since it is smaller than the sum of its proper divisors (1240380198).

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

809684442 is a wasteful number, since it uses less digits than its factorization.

809684442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 809684442 is about 28454.9546125099. The cubic root of 809684442 is about 932.0486851897.

The spelling of 809684442 in words is "eight hundred nine million, six hundred eighty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 103 126 178 206 267 309 534 618 623 701 721 801 927 1246 1402 1442 1602 1854 1869 2103 2163 3738 4206 4326 4907 5607 6309 6489 9167 9814 11214 12618 12978 14721 18334 27501 29442 44163 55002 62389 64169 72203 82503 88326 124778 128338 144406 165006 187167 192507 216609 374334 385014 433218 436723 505421 561501 577521 649827 873446 1010842 1123002 1155042 1299654 1310169 1516263 2620338 3032526 3930507 4548789 6426067 7861014 9097578 12852134 19278201 38556402 44982469 57834603 89964938 115669206 134947407 269894814 404842221 809684442