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806068384 = 251137591049
BaseRepresentation
bin110000000010111…
…010000010100000
32002011202111221121
4300002322002200
53122323142014
6211552502024
725655316412
oct6002720240
92064674847
10806068384
11384006120
121a5b4a914
13cacc9054
14790a89b2
154ab75124
hex300ba0a0

806068384 has 96 divisors (see below), whose sum is σ = 1809864000. Its totient is φ = 350115840.

The previous prime is 806068339. The next prime is 806068387. The reversal of 806068384 is 483860608.

It is a self number, because there is not a number n which added to its sum of digits gives 806068384.

It is not an unprimeable number, because it can be changed into a prime (806068387) 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, 767892 + ... + 768940.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2806068384 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 806068384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

806068384 is an abundant number, since it is smaller than the sum of its proper divisors (1003795616).

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

806068384 is a wasteful number, since it uses less digits than its factorization.

806068384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 806068384 is about 28391.3434694450. The cubic root of 806068384 is about 930.6591018981.

The spelling of 806068384 in words is "eight hundred six million, sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 59 74 88 118 148 176 236 296 352 407 472 592 649 814 944 1049 1184 1298 1628 1888 2098 2183 2596 3256 4196 4366 5192 6512 8392 8732 10384 11539 13024 16784 17464 20768 23078 24013 33568 34928 38813 46156 48026 61891 69856 77626 92312 96052 123782 155252 184624 192104 247564 310504 369248 384208 426943 495128 621008 680801 768416 853886 990256 1242016 1361602 1707772 1980512 2289967 2723204 3415544 4579934 5446408 6831088 9159868 10892816 13662176 18319736 21785632 25189637 36639472 50379274 73278944 100758548 201517096 403034192 806068384