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809357904 = 243231317957
BaseRepresentation
bin110000001111011…
…101001001010000
32002101221122022200
4300033131021100
53124143423104
6212151203200
726025300015
oct6017351120
92071848280
10809357904
11385952633
121a7076500
13cb8ab404
14796c370c
154b0c4b39
hex303dd250

809357904 has 60 divisors (see below), whose sum is σ = 2272441236. Its totient is φ = 268909056.

The previous prime is 809357903. The next prime is 809357921. The reversal of 809357904 is 409753908.

It can be written as a sum of positive squares in 2 ways, for example, as 430977600 + 378380304 = 20760^2 + 19452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 809357904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809357903) 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 11 ways as a sum of consecutive naturals, for example, 36094 + ... + 54050.

Almost surely, 2809357904 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 809357904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136220618).

809357904 is an abundant number, since it is smaller than the sum of its proper divisors (1463083332).

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

809357904 is a wasteful number, since it uses less digits than its factorization.

809357904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18275 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 809357904 is about 28449.2162282197. The cubic root of 809357904 is about 931.9233728990.

The spelling of 809357904 in words is "eight hundred nine million, three hundred fifty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 11268 15024 17957 22536 35914 45072 53871 71828 107742 143656 161613 215484 287312 323226 430968 646452 861936 1292904 2585808 5620541 11241082 16861623 22482164 33723246 44964328 50584869 67446492 89928656 101169738 134892984 202339476 269785968 404678952 809357904