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805208064 = 21538191
BaseRepresentation
bin101111111111101…
…000000000000000
32002010010210210220
4233333220000000
53122113124224
6211522223040
725645104243
oct5777500000
92063123726
10805208064
11383578811
121a57b4a80
13caa8759b
1478d2325a
154aa55279
hex2ffe8000

805208064 has 64 divisors (see below), whose sum is σ = 2147450880. Its totient is φ = 268369920.

The previous prime is 805208039. The next prime is 805208071. The reversal of 805208064 is 460802508.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 94209 + ... + 102399.

It is an arithmetic number, because the mean of its divisors is an integer number (33553920).

Almost surely, 2805208064 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 805208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073725440).

805208064 is an abundant number, since it is smaller than the sum of its proper divisors (1342242816).

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

805208064 is an frugal number, since it uses more digits than its factorization.

805208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 805208064 is about 28376.1883275397. The cubic root of 805208064 is about 930.3278853105.

The spelling of 805208064 in words is "eight hundred five million, two hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8191 8192 12288 16382 16384 24573 24576 32764 32768 49146 49152 65528 98292 98304 131056 196584 262112 393168 524224 786336 1048448 1572672 2096896 3145344 4193792 6290688 8387584 12581376 16775168 25162752 33550336 50325504 67100672 100651008 134201344 201302016 268402688 402604032 805208064