Base | Representation |
---|---|
bin | 1001111011111… |
… | …01100111010000 |
3 | 12210211201110201 |
4 | 10331331213100 |
5 | 132314231031 |
6 | 12134304544 |
7 | 2031323536 |
oct | 475754720 |
9 | 183751421 |
10 | 83352016 |
11 | 43060670 |
12 | 23ab8154 |
13 | 14365027 |
14 | b0da156 |
15 | 74b6d61 |
hex | 4f7d9d0 |
83352016 has 40 divisors (see below), whose sum is σ = 180488448. Its totient is φ = 36960000.
The previous prime is 83352013. The next prime is 83352053. The reversal of 83352016 is 61025338.
It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83352011) 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, 1441 + ... + 12991.
Almost surely, 283352016 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 83352016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90244224).
83352016 is an abundant number, since it is smaller than the sum of its proper divisors (97136432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83352016 is a wasteful number, since it uses less digits than its factorization.
83352016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11611 (or 11605 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 83352016 is about 9129.7325262025. The cubic root of 83352016 is about 436.8228715544.
The spelling of 83352016 in words is "eighty-three million, three hundred fifty-two thousand, sixteen".
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