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804299328 = 2633732359
BaseRepresentation
bin101111111100001…
…010001001000000
32002001102122021000
4233330022021000
53121400034303
6211450532000
725634301000
oct5774121100
92061378230
10804299328
11383007a98
121a5437000
13ca829a81
1478b68000
154a925da3
hex2ff0a240

804299328 has 448 divisors, whose sum is σ = 2926080000. Its totient is φ = 216082944.

The previous prime is 804299323. The next prime is 804299329. The reversal of 804299328 is 823992408.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (804299323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13632163 + ... + 13632221.

Almost surely, 2804299328 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 804299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463040000).

804299328 is an abundant number, since it is smaller than the sum of its proper divisors (2121780672).

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

804299328 is a wasteful number, since it uses less digits than its factorization.

804299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

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

The square root of 804299328 is about 28360.1715086492. The cubic root of 804299328 is about 929.9777726217.

The spelling of 804299328 in words is "eight hundred four million, two hundred ninety-nine thousand, three hundred twenty-eight".