| Base | Representation |
|---|---|
| bin | 1100101111000… |
| … | …0111011100000 |
| 3 | 10201111210111100 |
| 4 | 3023300323200 |
| 5 | 102133300043 |
| 6 | 5144514400 |
| 7 | 1216011516 |
| oct | 313607340 |
| 9 | 121453440 |
| 10 | 53415648 |
| 11 | 28173a70 |
| 12 | 15a7ba00 |
| 13 | b0b2cc0 |
| 14 | 71464b6 |
| 15 | 4a51cd3 |
| hex | 32f0ee0 |
53415648 has 144 divisors (see below), whose sum is σ = 178594416. Its totient is φ = 14929920.
The previous prime is 53415647. The next prime is 53415689. The reversal of 53415648 is 84651435.
It is a happy number.
53415648 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 5 + 648 = 666.
53415648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×534156483 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53415647) 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, 40536 + ... + 41832.
It is an arithmetic number, because the mean of its divisors is an integer number (1240239).
Almost surely, 253415648 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 53415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89297208).
53415648 is an abundant number, since it is smaller than the sum of its proper divisors (125178768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53415648 is a wasteful number, since it uses less digits than its factorization.
53415648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1337 (or 1326 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The square root of 53415648 is about 7308.6009605122. The cubic root of 53415648 is about 376.6079646775.
The spelling of 53415648 in words is "fifty-three million, four hundred fifteen thousand, six hundred forty-eight".
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