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4286016 = 263271063
BaseRepresentation
bin10000010110011001000000
322001202022100
4100112121000
52044123031
6231510400
751300450
oct20263100
98052270
104286016
112468169
121528400
13b70b07
147d7d60
15599de6
hex416640

4286016 has 84 divisors (see below), whose sum is σ = 14053312. Its totient is φ = 1223424.

The previous prime is 4286011. The next prime is 4286033. The reversal of 4286016 is 6106824.

4286016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (4286011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3501 + ... + 4563.

Almost surely, 24286016 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 4286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026656).

4286016 is an abundant number, since it is smaller than the sum of its proper divisors (9767296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4286016 is a wasteful number, since it uses less digits than its factorization.

4286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4286016 is about 2070.2695476676. The cubic root of 4286016 is about 162.4368638358.

The spelling of 4286016 in words is "four million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1063 1344 2016 2126 3189 4032 4252 6378 7441 8504 9567 12756 14882 17008 19134 22323 25512 29764 34016 38268 44646 51024 59528 66969 68032 76536 89292 102048 119056 133938 153072 178584 204096 238112 267876 306144 357168 476224 535752 612288 714336 1071504 1428672 2143008 4286016