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805368844 = 227434611451
BaseRepresentation
bin110000000000001…
…111010000001100
32002010102222100201
4300000033100030
53122133300334
6211525503244
725646344060
oct6000172014
92063388321
10805368844
11383678595
121a5871b24
13cab12817
1478d65aa0
154aa87c14
hex3000f40c

805368844 has 48 divisors (see below), whose sum is σ = 1652910336. Its totient is φ = 336168000.

The previous prime is 805368841. The next prime is 805368869. The reversal of 805368844 is 448863508.

It is a junction number, because it is equal to n+sod(n) for n = 805368794 and 805368803.

It is not an unprimeable number, because it can be changed into a prime (805368841) 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, 554319 + ... + 555769.

It is an arithmetic number, because the mean of its divisors is an integer number (34435632).

Almost surely, 2805368844 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 805368844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826455168).

805368844 is an abundant number, since it is smaller than the sum of its proper divisors (847541492).

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

805368844 is a wasteful number, since it uses less digits than its factorization.

805368844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 805368844 is about 28379.0211952421. The cubic root of 805368844 is about 930.3898022939.

The spelling of 805368844 in words is "eight hundred five million, three hundred sixty-eight thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 461 602 922 1204 1451 1844 2902 3227 5804 6454 10157 12908 19823 20314 39646 40628 62393 79292 124786 138761 249572 277522 436751 555044 668911 873502 1337822 1747004 2675644 4682377 9364754 18729508 28763173 57526346 115052692 201342211 402684422 805368844