Base | Representation |
---|---|
bin | 110101011011… |
… | …0001110000000 |
3 | 1221201000121010 |
4 | 1222312032000 |
5 | 24132244334 |
6 | 2440200520 |
7 | 460034616 |
oct | 152661600 |
9 | 57630533 |
10 | 28009344 |
11 | 148a0920 |
12 | 9469140 |
13 | 5a58b9c |
14 | 3a116b6 |
15 | 26d40e9 |
hex | 1ab6380 |
28009344 has 128 divisors (see below), whose sum is σ = 85680000. Its totient is φ = 8017920.
The previous prime is 28009343. The next prime is 28009357. The reversal of 28009344 is 44390082.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (28009343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80082 + ... + 80430.
It is an arithmetic number, because the mean of its divisors is an integer number (669375).
Almost surely, 228009344 is an apocalyptic number.
28009344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840000).
28009344 is an abundant number, since it is smaller than the sum of its proper divisors (57670656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28009344 is a wasteful number, since it uses less digits than its factorization.
28009344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 396 (or 384 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 28009344 is about 5292.3854734892. The cubic root of 28009344 is about 303.6926718681.
The spelling of 28009344 in words is "twenty-eight million, nine thousand, three hundred forty-four".
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