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805353800 = 235210139869
BaseRepresentation
bin110000000000001…
…011100101001000
32002010102012201112
4300000023211020
53122132310200
6211525305452
725646252156
oct6000134510
92063365645
10805353800
11383668259
121a5865288
13cab08a14
1478d603d6
154aa83535
hex3000b948

805353800 has 48 divisors (see below), whose sum is σ = 1891034100. Its totient is φ = 318944000.

The previous prime is 805353799. The next prime is 805353821. The reversal of 805353800 is 8353508.

It can be written as a sum of positive squares in 6 ways, for example, as 548777476 + 256576324 = 23426^2 + 16018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266 + ... + 40134.

Almost surely, 2805353800 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 805353800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945517050).

805353800 is an abundant number, since it is smaller than the sum of its proper divisors (1085680300).

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

805353800 is a wasteful number, since it uses less digits than its factorization.

805353800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39986 (or 39977 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 805353800 is about 28378.7561390558. The cubic root of 805353800 is about 930.3840091423.

The spelling of 805353800 in words is "eight hundred five million, three hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 39869 79738 159476 199345 318952 398690 797380 996725 1594760 1993450 3986900 4026769 7973800 8053538 16107076 20133845 32214152 40267690 80535380 100669225 161070760 201338450 402676900 805353800