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44288 = 28173
BaseRepresentation
bin1010110100000000
32020202022
422310000
52404123
6541012
7243056
oct126400
966668
1044288
1130302
1221768
131720a
14121d6
15d1c8
hexad00

44288 has 18 divisors (see below), whose sum is σ = 88914. Its totient is φ = 22016.

The previous prime is 44281. The next prime is 44293. The reversal of 44288 is 88244.

Subtracting 44288 from its reverse (88244), we obtain a triangular number (43956 = T296).

It can be written as a sum of positive squares in only one way, i.e., 43264 + 1024 = 208^2 + 32^2 .

It is a super-2 number, since 2×442882 = 3922853888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44281) by changing a digit.

44288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 170 + ... + 342.

244288 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 44288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457).

44288 is an abundant number, since it is smaller than the sum of its proper divisors (44626).

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

44288 is an equidigital number, since it uses as much as digits as its factorization.

44288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 44288 is about 210.4471430075. The cubic root of 44288 is about 35.3803416873.

The spelling of 44288 in words is "forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 5536 11072 22144 44288