Base | Representation |
---|---|
bin | 101111110011011… |
… | …000110010000000 |
3 | 2001220002211011201 |
4 | 233303120302000 |
5 | 3120303000000 |
6 | 211325350544 |
7 | 25605613264 |
oct | 5763306200 |
9 | 2056084151 |
10 | 802000000 |
11 | 38178751a |
12 | 1a4708454 |
13 | ca203319 |
14 | 7872a0a4 |
15 | 4a61e96a |
hex | 2fcd8c80 |
802000000 has 112 divisors (see below), whose sum is σ = 2002122810. Its totient is φ = 320000000.
The previous prime is 801999971. The next prime is 802000019. The reversal of 802000000 is 208.
It is a happy number.
It can be written as a sum of positive squares in 7 ways, for example, as 168169024 + 633830976 = 12968^2 + 25176^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999800 + ... + 2000200.
Almost surely, 2802000000 is an apocalyptic number.
802000000 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 802000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001061405).
802000000 is an abundant number, since it is smaller than the sum of its proper divisors (1200122810).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
802000000 is an frugal number, since it uses more digits than its factorization.
802000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 445 (or 408 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 802000000 is about 28319.6045170126. The cubic root of 802000000 is about 929.0907210903.
Adding to 802000000 its reverse (208), we get a palindrome (802000208).
The spelling of 802000000 in words is "eight hundred two million", and thus it is an aban number.
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