Base | Representation |
---|---|
bin | 110101110110… |
… | …1101001100000 |
3 | 1222010120001000 |
4 | 1223231221200 |
5 | 24212031014 |
6 | 2445112000 |
7 | 462001551 |
oct | 153555140 |
9 | 58116030 |
10 | 28236384 |
11 | 14a36460 |
12 | 9558600 |
13 | 5b08327 |
14 | 3a70328 |
15 | 272b509 |
hex | 1aeda60 |
28236384 has 96 divisors (see below), whose sum is σ = 89873280. Its totient is φ = 8553600.
The previous prime is 28236379. The next prime is 28236389. The reversal of 28236384 is 48363282.
It is an interprime number because it is at equal distance from previous prime (28236379) and next prime (28236389).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (28236389) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8019 + ... + 10989.
It is an arithmetic number, because the mean of its divisors is an integer number (936180).
Almost surely, 228236384 is an apocalyptic number.
28236384 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 28236384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44936640).
28236384 is an abundant number, since it is smaller than the sum of its proper divisors (61636896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28236384 is a wasteful number, since it uses less digits than its factorization.
28236384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3001 (or 2987 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 28236384 is about 5313.7918664547. The cubic root of 28236384 is about 304.5110287447.
The spelling of 28236384 in words is "twenty-eight million, two hundred thirty-six thousand, three hundred eighty-four".
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