| Base | Representation |
|---|---|
| bin | 1100101010100… |
| … | …1111110001000 |
| 3 | 10200222000210121 |
| 4 | 3022221332020 |
| 5 | 102100000000 |
| 6 | 5134353024 |
| 7 | 1213361245 |
| oct | 312517610 |
| 9 | 120860717 |
| 10 | 53125000 |
| 11 | 27a95665 |
| 12 | 1595b774 |
| 13 | b010916 |
| 14 | 70ac5cc |
| 15 | 49e5b1a |
| hex | 32a9f88 |
53125000 has 72 divisors (see below), whose sum is σ = 131835870. Its totient is φ = 20000000.
The previous prime is 53124997. The next prime is 53125001. The reversal of 53125000 is 52135.
53125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 9 ways, for example, as 53085796 + 39204 = 7286^2 + 198^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53125001) 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 17 ways as a sum of consecutive naturals, for example, 3124992 + ... + 3125008.
Almost surely, 253125000 is an apocalyptic number.
53125000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 53125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65917935).
53125000 is an abundant number, since it is smaller than the sum of its proper divisors (78710870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53125000 is an frugal number, since it uses more digits than its factorization.
53125000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 150, while the sum is 16.
The square root of 53125000 is about 7288.6898685566. The cubic root of 53125000 is about 375.9236490512.
Adding to 53125000 its reverse (52135), we get a palindrome (53177135).
It can be divided in two parts, 5 and 3125000, that multiplied together give a cube (15625000 = 2503).
The spelling of 53125000 in words is "fifty-three million, one hundred twenty-five thousand".
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