Base | Representation |
---|---|
bin | 1001111111011… |
… | …10100110100000 |
3 | 12211201020022110 |
4 | 10333232212200 |
5 | 132424033231 |
6 | 12152235320 |
7 | 2035262031 |
oct | 477564640 |
9 | 184636273 |
10 | 83814816 |
11 | 43347348 |
12 | 2409bb40 |
13 | 14497887 |
14 | b1baa88 |
15 | 7559046 |
hex | 4fee9a0 |
83814816 has 48 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 27878400.
The previous prime is 83814803. The next prime is 83814817. The reversal of 83814816 is 61841838.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×838148162 = 14049846762227712, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (83814817) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84081 + ... + 85071.
It is an arithmetic number, because the mean of its divisors is an integer number (4593456).
Almost surely, 283814816 is an apocalyptic number.
83814816 is the 5286-th octagonal number.
It is an amenable number.
83814816 is an abundant number, since it is smaller than the sum of its proper divisors (136671072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83814816 is a wasteful number, since it uses less digits than its factorization.
83814816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).
The product of its digits is 36864, while the sum is 39.
The square root of 83814816 is about 9155.0432003350. The cubic root of 83814816 is about 437.6298451059.
The spelling of 83814816 in words is "eighty-three million, eight hundred fourteen thousand, eight hundred sixteen".
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