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806464296 = 2333111312591
BaseRepresentation
bin110000000100011…
…010101100101000
32002012111122001000
4300010122230220
53122423324141
6212005155000
725661555601
oct6004325450
92065448030
10806464296
11384256620
121a60bba60
13cb107311
147916cda8
154ac025b6
hex3011ab28

806464296 has 128 divisors (see below), whose sum is σ = 2463436800. Its totient is φ = 242424000.

The previous prime is 806464259. The next prime is 806464313. The reversal of 806464296 is 692464608.

It is an unprimeable number.

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, 309961 + ... + 312551.

It is an arithmetic number, because the mean of its divisors is an integer number (19245600).

Almost surely, 2806464296 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 806464296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231718400).

806464296 is an abundant number, since it is smaller than the sum of its proper divisors (1656972504).

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

806464296 is a wasteful number, since it uses less digits than its factorization.

806464296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 806464296 is about 28398.3150204374. The cubic root of 806464296 is about 930.8114457957.

The spelling of 806464296 in words is "eight hundred six million, four hundred sixty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 131 132 198 216 262 264 297 393 396 524 594 786 792 1048 1179 1188 1441 1572 2358 2376 2591 2882 3144 3537 4323 4716 5182 5764 7074 7773 8646 9432 10364 11528 12969 14148 15546 17292 20728 23319 25938 28296 28501 31092 34584 38907 46638 51876 57002 62184 69957 77814 85503 93276 103752 114004 139914 155628 171006 186552 228008 256509 279828 311256 339421 342012 513018 559656 678842 684024 769527 1018263 1026036 1357684 1539054 2036526 2052072 2715368 3054789 3078108 3733631 4073052 6109578 6156216 7467262 8146104 9164367 11200893 12219156 14934524 18328734 22401786 24438312 29869048 33602679 36657468 44803572 67205358 73314936 89607144 100808037 134410716 201616074 268821432 403232148 806464296