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804334752 = 253313193769
BaseRepresentation
bin101111111100010…
…010110010100000
32002001111102212000
4233330102302200
53121402203002
6211451404000
725634506164
oct5774226240
92061442760
10804334752
11383031671
121a5453600
13ca83cc30
1478b76ca4
154a93161c
hex2ff12ca0

804334752 has 192 divisors, whose sum is σ = 2660112000. Its totient is φ = 234399744.

The previous prime is 804334697. The next prime is 804334793. The reversal of 804334752 is 257433408.

It is a happy number.

804334752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211524 + ... + 215292.

It is an arithmetic number, because the mean of its divisors is an integer number (13854750).

Almost surely, 2804334752 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 804334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330056000).

804334752 is an abundant number, since it is smaller than the sum of its proper divisors (1855777248).

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

804334752 is a wasteful number, since it uses less digits than its factorization.

804334752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 804334752 is about 28360.7960396037. The cubic root of 804334752 is about 929.9914255193.

The spelling of 804334752 in words is "eight hundred four million, three hundred thirty-four thousand, seven hundred fifty-two".