Base | Representation |
---|---|
bin | 10101101100101011100000 |
3 | 101200222111212 |
4 | 111230223200 |
5 | 2424004112 |
6 | 321525252 |
7 | 66230120 |
oct | 25545340 |
9 | 11628455 |
10 | 5688032 |
11 | 3235559 |
12 | 1aa3828 |
13 | 1241ccc |
14 | a80c80 |
15 | 775522 |
hex | 56cae0 |
5688032 has 48 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 2395008.
The previous prime is 5687999. The next prime is 5688037. The reversal of 5688032 is 2308865.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a nialpdrome in base 15.
It is a zygodrome in base 15.
It is a self number, because there is not a number n which added to its sum of digits gives 5688032.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5688037) 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 7 ways as a sum of consecutive naturals, for example, 14819 + ... + 15197.
It is an arithmetic number, because the mean of its divisors is an integer number (271320).
Almost surely, 25688032 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 5688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).
5688032 is an abundant number, since it is smaller than the sum of its proper divisors (7335328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5688032 is a wasteful number, since it uses less digits than its factorization.
5688032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 463 (or 455 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 32.
The square root of 5688032 is about 2384.9595384409. The cubic root of 5688032 is about 178.5064899418.
It can be divided in two parts, 56 and 88032, that added together give a palindrome (88088).
The spelling of 5688032 in words is "five million, six hundred eighty-eight thousand, thirty-two".
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