Search a number
-
+
805956768 = 25322798461
BaseRepresentation
bin110000000010011…
…110110010100000
32002011112211211200
4300002132302200
53122311104033
6211550241200
725654343121
oct6002366240
92064484750
10805956768
11383a3a281
121a5ab6200
13cac8a2c6
147907a048
154ab52013
hex3009eca0

805956768 has 36 divisors (see below), whose sum is σ = 2291940378. Its totient is φ = 268652160.

The previous prime is 805956727. The next prime is 805956773. The reversal of 805956768 is 867659508.

It can be written as a sum of positive squares in only one way, i.e., 801342864 + 4613904 = 28308^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 1398943 + ... + 1399518.

Almost surely, 2805956768 is an apocalyptic number.

It is an amenable number.

805956768 is an abundant number, since it is smaller than the sum of its proper divisors (1485983610).

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

805956768 is a wasteful number, since it uses less digits than its factorization.

805956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798477 (or 2798466 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 805956768 is about 28389.3777318208. The cubic root of 805956768 is about 930.6161439046.

The spelling of 805956768 in words is "eight hundred five million, nine hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2798461 5596922 8395383 11193844 16790766 22387688 25186149 33581532 44775376 50372298 67163064 89550752 100744596 134326128 201489192 268652256 402978384 805956768