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804939840 = 263252771009
BaseRepresentation
bin101111111110100…
…110100001000000
32002002122011212200
4233332212201000
53122031033330
6211512353200
725642606245
oct5776464100
92062564780
10804939840
11383405241
121a56a5800
13ca9c2483
1478c935cc
154aa00a60
hex2ffa6840

804939840 has 168 divisors, whose sum is σ = 2781406680. Its totient is φ = 213663744.

The previous prime is 804939827. The next prime is 804939857. The reversal of 804939840 is 48939408.

It is a happy number.

804939840 is a `hidden beast` number, since 80 + 493 + 9 + 84 + 0 = 666.

804939840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 803382336 = 1248^2 + 28344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797256 + ... + 798264.

Almost surely, 2804939840 is an apocalyptic number.

804939840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390703340).

804939840 is an abundant number, since it is smaller than the sum of its proper divisors (1976466840).

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

804939840 is a wasteful number, since it uses less digits than its factorization.

804939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 804939840 is about 28371.4617177191. The cubic root of 804939840 is about 930.2245728911.

The spelling of 804939840 in words is "eight hundred four million, nine hundred thirty-nine thousand, eight hundred forty".