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110848 = 28433
BaseRepresentation
bin11011000100000000
312122001111
4123010000
512021343
62213104
7641113
oct330400
9178044
10110848
1176311
1254194
133b5ba
142c57a
1522c9d
hex1b100

110848 has 18 divisors (see below), whose sum is σ = 221774. Its totient is φ = 55296.

The previous prime is 110821. The next prime is 110849. The reversal of 110848 is 848011.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 36864 = 272^2 + 192^2 .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (110849) 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 as a sum of consecutive naturals, namely, 40 + ... + 472.

2110848 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 110848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110887).

110848 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

110848 is an frugal number, since it uses more digits than its factorization.

110848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 110848 is about 332.9384327470. The cubic root of 110848 is about 48.0370084958.

Subtracting from 110848 its product of nonzero digits (256), we obtain a cube (110592 = 483).

Adding to 110848 its reverse (848011), we get a palindrome (958859).

It can be divided in two parts, 1108 and 48, that added together give a square (1156 = 342).

The spelling of 110848 in words is "one hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 433 866 1732 3464 6928 13856 27712 55424 110848