Base | Representation |
---|---|
bin | 1100101010110… |
… | …0111110010000 |
3 | 10200222122200000 |
4 | 3022230332100 |
5 | 102100343141 |
6 | 5134530000 |
7 | 1213442142 |
oct | 312547620 |
9 | 120878600 |
10 | 53137296 |
11 | 27aa3923 |
12 | 15966900 |
13 | b0163b4 |
14 | 70b2c92 |
15 | 49e95b6 |
hex | 32acf90 |
53137296 has 120 divisors (see below), whose sum is σ = 157073280. Its totient is φ = 17387136.
The previous prime is 53137289. The next prime is 53137297. The reversal of 53137296 is 69273135.
53137296 is a `hidden beast` number, since 531 + 37 + 2 + 96 = 666.
53137296 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 (36).
It is a self number, because there is not a number n which added to its sum of digits gives 53137296.
It is not an unprimeable number, because it can be changed into a prime (53137297) 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 23 ways as a sum of consecutive naturals, for example, 307066 + ... + 307238.
It is an arithmetic number, because the mean of its divisors is an integer number (1308944).
Almost surely, 253137296 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 53137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78536640).
53137296 is an abundant number, since it is smaller than the sum of its proper divisors (103935984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53137296 is a wasteful number, since it uses less digits than its factorization.
53137296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275 (or 257 counting only the distinct ones).
The product of its digits is 34020, while the sum is 36.
The square root of 53137296 is about 7289.5333183956. The cubic root of 53137296 is about 375.9526498394.
The spelling of 53137296 in words is "fifty-three million, one hundred thirty-seven thousand, two hundred ninety-six".
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