Base | Representation |
---|---|
bin | 101111110011011… |
… | …110000000101000 |
3 | 2001220010220112220 |
4 | 233303132000220 |
5 | 3120304141131 |
6 | 211330034040 |
7 | 25606032600 |
oct | 5763360050 |
9 | 2056126486 |
10 | 802021416 |
11 | 3817a1619 |
12 | 1a4718920 |
13 | ca20ccb1 |
14 | 78733c00 |
15 | 4a625e96 |
hex | 2fcde028 |
802021416 has 96 divisors (see below), whose sum is σ = 2343219840. Its totient is φ = 228087552.
The previous prime is 802021411. The next prime is 802021421. The reversal of 802021416 is 614120208.
802021416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (802021411) and next prime (802021421).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (802021411) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272545 + ... + 275471.
It is an arithmetic number, because the mean of its divisors is an integer number (24408540).
Almost surely, 2802021416 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 802021416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171609920).
802021416 is an abundant number, since it is smaller than the sum of its proper divisors (1541198424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
802021416 is a wasteful number, since it uses less digits than its factorization.
802021416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 802021416 is about 28319.9826271133. The cubic root of 802021416 is about 929.0989909281.
It can be divided in two parts, 80202 and 1416, that added together give a palindrome (81618).
The spelling of 802021416 in words is "eight hundred two million, twenty-one thousand, four hundred sixteen".
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