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808064096 = 257383887
BaseRepresentation
bin110000001010100…
…001010001100000
32002022111220112212
4300022201101200
53123331022341
6212103341252
726011301000
oct6012412140
92068456485
10808064096
11385149574
121a6751828
13cb547548
1479468000
154ae1b5eb
hex302a1460

808064096 has 96 divisors (see below), whose sum is σ = 1879718400. Its totient is φ = 341755008.

The previous prime is 808064093. The next prime is 808064119. The reversal of 808064096 is 690460808.

It is a super-3 number, since 3×8080640963 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808064093) 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, 910565 + ... + 911451.

It is an arithmetic number, because the mean of its divisors is an integer number (19580400).

Almost surely, 2808064096 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 808064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939859200).

808064096 is an abundant number, since it is smaller than the sum of its proper divisors (1071654304).

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

808064096 is an equidigital number, since it uses as much as digits as its factorization.

808064096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 808064096 is about 28426.4682294512. The cubic root of 808064096 is about 931.4265292661.

The spelling of 808064096 in words is "eight hundred eight million, sixty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 112 166 196 224 332 343 392 581 664 686 784 887 1162 1328 1372 1568 1774 2324 2656 2744 3548 4067 4648 5488 6209 7096 8134 9296 10976 12418 14192 16268 18592 24836 28384 28469 32536 43463 49672 56938 65072 73621 86926 99344 113876 130144 147242 173852 198688 227752 294484 304241 347704 455504 515347 588968 608482 695408 911008 1030694 1177936 1216964 1390816 2061388 2355872 2433928 3607429 4122776 4867856 7214858 8245552 9735712 14429716 16491104 25252003 28859432 50504006 57718864 101008012 115437728 202016024 404032048 808064096