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104448 = 211317
BaseRepresentation
bin11001100000000000
312022021110
4121200000
511320243
62123320
7613341
oct314000
9168243
10104448
1171523
1250540
1338706
142a0c8
1520e33
hex19800

104448 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 32768.

The previous prime is 104417. The next prime is 104459. The reversal of 104448 is 844401.

Adding to 104448 its reverse (844401), we get a palindrome (948849).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

104448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 104448 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6136 + ... + 6152.

104448 is a Friedman number, since it can be written as 408*4^4*1, using all its digits and the basic arithmetic operations.

2104448 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 104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

104448 is an abundant number, since it is smaller than the sum of its proper divisors (190392).

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

104448 is an equidigital number, since it uses as much as digits as its factorization.

104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 104448 is about 323.1841580276. The cubic root of 104448 is about 47.0941225351.

The spelling of 104448 in words is "one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 52224 104448