Base | Representation |
---|---|
bin | 1100101100101… |
… | …1100001100000 |
3 | 10201020000022200 |
4 | 3023023201200 |
5 | 102113344212 |
6 | 5141333200 |
7 | 1214503026 |
oct | 313134140 |
9 | 121200280 |
10 | 53262432 |
11 | 28079943 |
12 | 15a07200 |
13 | b05b342 |
14 | 7106716 |
15 | 4a216dc |
hex | 32cb860 |
53262432 has 72 divisors (see below), whose sum is σ = 153447840. Its totient is φ = 17521920.
The previous prime is 53262431. The next prime is 53262439. The reversal of 53262432 is 23426235.
53262432 is a `hidden beast` number, since 5 + 3 + 2 + 624 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 53262396 and 53262405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53262431) 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 11 ways as a sum of consecutive naturals, for example, 21582 + ... + 23922.
It is an arithmetic number, because the mean of its divisors is an integer number (2131220).
Almost surely, 253262432 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 53262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723920).
53262432 is an abundant number, since it is smaller than the sum of its proper divisors (100185408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53262432 is a wasteful number, since it uses less digits than its factorization.
53262432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2436 (or 2425 counting only the distinct ones).
The product of its digits is 8640, while the sum is 27.
The square root of 53262432 is about 7298.1115365552. Note that the first 3 decimals coincide. The cubic root of 53262432 is about 376.2475358094.
Adding to 53262432 its reverse (23426235), we get a palindrome (76688667).
The spelling of 53262432 in words is "fifty-three million, two hundred sixty-two thousand, four hundred thirty-two".
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