Search a number
-
+
804066816 = 2937175383
BaseRepresentation
bin101111111011010…
…001011000000000
32002000222211022110
4233323101120000
53121320114231
6211441535320
725632312060
oct5773213000
92060884273
10804066816
11382969333
121a5344540
13ca777ca7
1478b073a0
154a8cc046
hex2fed1600

804066816 has 320 divisors, whose sum is σ = 2672828928. Its totient is φ = 209584128.

The previous prime is 804066797. The next prime is 804066817. The reversal of 804066816 is 618660408.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804066817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9687511 + ... + 9687593.

Almost surely, 2804066816 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 804066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336414464).

804066816 is an abundant number, since it is smaller than the sum of its proper divisors (1868762112).

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

804066816 is a wasteful number, since it uses less digits than its factorization.

804066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 804066816 is about 28356.0719423548. The cubic root of 804066816 is about 929.8881493417. Note that the first 3 decimals are identical.

The spelling of 804066816 in words is "eight hundred four million, sixty-six thousand, eight hundred sixteen".