Base | Representation |
---|---|
bin | 101111101110111… |
… | …000011111000000 |
3 | 2001210212211100000 |
4 | 233232320133000 |
5 | 3120002203021 |
6 | 211244200000 |
7 | 25562564445 |
oct | 5756703700 |
9 | 2053784300 |
10 | 800819136 |
11 | 3810502a7 |
12 | 1a4239000 |
13 | c9bab9a0 |
14 | 784dd9cc |
15 | 4a489b26 |
hex | 2fbb87c0 |
800819136 has 336 divisors, whose sum is σ = 2725972704. Its totient is φ = 230916096.
The previous prime is 800819111. The next prime is 800819167. The reversal of 800819136 is 631918008.
It is a super-2 number, since 2×8008191362 = 1282622577167572992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 800819136.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436876 + ... + 3437108.
It is an arithmetic number, because the mean of its divisors is an integer number (8113014).
Almost surely, 2800819136 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 800819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362986352).
800819136 is an abundant number, since it is smaller than the sum of its proper divisors (1925153568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
800819136 is a wasteful number, since it uses less digits than its factorization.
800819136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 800819136 is about 28298.7479581695. The cubic root of 800819136 is about 928.6344996866.
The spelling of 800819136 in words is "eight hundred million, eight hundred nineteen thousand, one hundred thirty-six".
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