Base | Representation |
---|---|
bin | 111101111000… |
… | …0011100000000 |
3 | 2021001020012201 |
4 | 1323300130000 |
5 | 31301121422 |
6 | 3115202544 |
7 | 542516263 |
oct | 173603400 |
9 | 67036181 |
10 | 32442112 |
11 | 1734926a |
12 | aa46454 |
13 | 694b721 |
14 | 4446cda |
15 | 2cac727 |
hex | 1ef0700 |
32442112 has 36 divisors (see below), whose sum is σ = 65121840. Its totient is φ = 16130048.
The previous prime is 32442107. The next prime is 32442119. The reversal of 32442112 is 21124423.
It is a self number, because there is not a number n which added to its sum of digits gives 32442112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32442119) 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 3 ways as a sum of consecutive naturals, for example, 90189 + ... + 90547.
It is an arithmetic number, because the mean of its divisors is an integer number (1808940).
Almost surely, 232442112 is an apocalyptic number.
32442112 is a gapful number since it is divisible by the number (32) 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 32442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32560920).
32442112 is an abundant number, since it is smaller than the sum of its proper divisors (32679728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32442112 is an equidigital number, since it uses as much as digits as its factorization.
32442112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 728 (or 714 counting only the distinct ones).
The product of its digits is 384, while the sum is 19.
The square root of 32442112 is about 5695.7977492183. The cubic root of 32442112 is about 318.9356303331.
Adding to 32442112 its reverse (21124423), we get a palindrome (53566535).
It can be divided in two parts, 3244 and 2112, that added together give a triangular number (5356 = T103).
The spelling of 32442112 in words is "thirty-two million, four hundred forty-two thousand, one hundred twelve".
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