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4228672 = 2679439
BaseRepresentation
bin10000001000011001000000
321221211122111
4100020121000
52040304142
6230345104
750641330
oct20103100
97854574
104228672
112429078
1214bb194
13b50996
147c10c0
15587e17
hex408640

4228672 has 28 divisors (see below), whose sum is σ = 9591040. Its totient is φ = 1812096.

The previous prime is 4228669. The next prime is 4228673. The reversal of 4228672 is 2768224.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (4228673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4272 + ... + 5167.

Almost surely, 24228672 is an apocalyptic number.

It is an amenable number.

4228672 is an abundant number, since it is smaller than the sum of its proper divisors (5362368).

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

4228672 is an equidigital number, since it uses as much as digits as its factorization.

4228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9448 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 4228672 is about 2056.3735069291. The cubic root of 4228672 is about 161.7091769505.

It can be divided in two parts, 4228 and 672, that added together give a square (4900 = 702).

The spelling of 4228672 in words is "four million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 9439 18878 37756 66073 75512 132146 151024 264292 302048 528584 604096 1057168 2114336 4228672