Base | Representation |
---|---|
bin | 1100101100010… |
… | …0000110100000 |
3 | 10201011110121202 |
4 | 3023010012200 |
5 | 102111411112 |
6 | 5140540332 |
7 | 1214315300 |
oct | 313040640 |
9 | 121143552 |
10 | 53232032 |
11 | 28059017 |
12 | 159b16a8 |
13 | b04a559 |
14 | 70d9600 |
15 | 4a176c2 |
hex | 32c41a0 |
53232032 has 72 divisors (see below), whose sum is σ = 129146724. Its totient is φ = 21460992.
The previous prime is 53232031. The next prime is 53232071. The reversal of 53232032 is 23023235.
It can be written as a sum of positive squares in 2 ways, for example, as 51782416 + 1449616 = 7196^2 + 1204^2 .
It is a junction number, because it is equal to n+sod(n) for n = 53231995 and 53232013.
It is not an unprimeable number, because it can be changed into a prime (53232031) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25658 + ... + 27654.
Almost surely, 253232032 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 53232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64573362).
53232032 is an abundant number, since it is smaller than the sum of its proper divisors (75914692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53232032 is a wasteful number, since it uses less digits than its factorization.
53232032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2038 (or 2023 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 20.
The square root of 53232032 is about 7296.0285087162. The cubic root of 53232032 is about 376.1759399932.
Adding to 53232032 its reverse (23023235), we get a palindrome (76255267).
The spelling of 53232032 in words is "fifty-three million, two hundred thirty-two thousand, thirty-two".
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