Base | Representation |
---|---|
bin | 1100101101010… |
… | …1111101000000 |
3 | 10201022011220220 |
4 | 3023111331000 |
5 | 102121231102 |
6 | 5142303040 |
7 | 1215041415 |
oct | 313257500 |
9 | 121264826 |
10 | 53305152 |
11 | 280a8a4a |
12 | 15a27a80 |
13 | b074914 |
14 | 711810c |
15 | 4a2e1bc |
hex | 32d5f40 |
53305152 has 56 divisors (see below), whose sum is σ = 141646656. Its totient is φ = 17691648.
The previous prime is 53305139. The next prime is 53305157. The reversal of 53305152 is 25150335.
53305152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53305157) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59653 + ... + 60539.
Almost surely, 253305152 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 53305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70823328).
53305152 is an abundant number, since it is smaller than the sum of its proper divisors (88341504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53305152 is a wasteful number, since it uses less digits than its factorization.
53305152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).
The product of its (nonzero) digits is 2250, while the sum is 24.
The square root of 53305152 is about 7301.0377344594. The cubic root of 53305152 is about 376.3481007465.
Adding to 53305152 its reverse (25150335), we get a palindrome (78455487).
The spelling of 53305152 in words is "fifty-three million, three hundred five thousand, one hundred fifty-two".
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