Base | Representation |
---|---|
bin | 1100110000110… |
… | …1011100010000 |
3 | 10201201201200200 |
4 | 3030031130100 |
5 | 102201014212 |
6 | 5151215200 |
7 | 1220006142 |
oct | 314153420 |
9 | 121651620 |
10 | 53532432 |
11 | 28243788 |
12 | 15b17500 |
13 | b1241c5 |
14 | 7176c92 |
15 | 4a766dc |
hex | 330d710 |
53532432 has 60 divisors (see below), whose sum is σ = 151536060. Its totient is φ = 17639424.
The previous prime is 53532419. The next prime is 53532469. The reversal of 53532432 is 23423535.
It can be written as a sum of positive squares in 2 ways, for example, as 31404816 + 22127616 = 5604^2 + 4704^2 .
It is a junction number, because it is equal to n+sod(n) for n = 53532396 and 53532405.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 10728 + ... + 14904.
It is an arithmetic number, because the mean of its divisors is an integer number (2525601).
Almost surely, 253532432 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 53532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75768030).
53532432 is an abundant number, since it is smaller than the sum of its proper divisors (98003628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53532432 is a wasteful number, since it uses less digits than its factorization.
53532432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4280 (or 4271 counting only the distinct ones).
The product of its digits is 10800, while the sum is 27.
The square root of 53532432 is about 7316.5860891539. The cubic root of 53532432 is about 376.8822274465.
Adding to 53532432 its reverse (23423535), we get a palindrome (76955967).
The spelling of 53532432 in words is "fifty-three million, five hundred thirty-two thousand, four hundred thirty-two".
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