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28066048 = 28176449
BaseRepresentation
bin110101100010…
…0000100000000
31221210220101021
41223010010000
524141103143
62441315224
7460362133
oct153040400
957726337
1028066048
111492a48a
129495b14
135a7893a
143a2821a
1526e5ced
hex1ac4100

28066048 has 36 divisors (see below), whose sum is σ = 59327100. Its totient is φ = 13205504.

The previous prime is 28066043. The next prime is 28066069. The reversal of 28066048 is 84066082.

It can be written as a sum of positive squares in 2 ways, for example, as 25080064 + 2985984 = 5008^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (28066043) 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 3 ways as a sum of consecutive naturals, for example, 1128 + ... + 7576.

It is an arithmetic number, because the mean of its divisors is an integer number (1647975).

Almost surely, 228066048 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 28066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29663550).

28066048 is an abundant number, since it is smaller than the sum of its proper divisors (31261052).

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

28066048 is an equidigital number, since it uses as much as digits as its factorization.

28066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 28066048 is about 5297.7398954649. The cubic root of 28066048 is about 303.8974723504.

Adding to 28066048 its sum of digits (34), we get a palindrome (28066082).

Subtracting from 28066048 its product of nonzero digits (18432), we obtain a square (28047616 = 52962).

The spelling of 28066048 in words is "twenty-eight million, sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 6449 12898 25796 51592 103184 109633 206368 219266 412736 438532 825472 877064 1650944 1754128 3508256 7016512 14033024 28066048