Base | Representation |
---|---|
bin | 1011100111100… |
… | …1100010110000 |
3 | 10101200212012100 |
4 | 2321321202300 |
5 | 44433413321 |
6 | 4500300400 |
7 | 1131134532 |
oct | 271714260 |
9 | 111625170 |
10 | 48732336 |
11 | 25565364 |
12 | 143a1700 |
13 | a133403 |
14 | 6687852 |
15 | 4429326 |
hex | 2e798b0 |
48732336 has 90 divisors (see below), whose sum is σ = 145001012. Its totient is φ = 15275520.
The previous prime is 48732323. The next prime is 48732337. The reversal of 48732336 is 63323784.
48732336 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 48732336.
It is not an unprimeable number, because it can be changed into a prime (48732337) 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, 41031 + ... + 42201.
Almost surely, 248732336 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 48732336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72500506).
48732336 is an abundant number, since it is smaller than the sum of its proper divisors (96268676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48732336 is a wasteful number, since it uses less digits than its factorization.
48732336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1219 (or 1193 counting only the distinct ones).
The product of its digits is 72576, while the sum is 36.
The square root of 48732336 is about 6980.8549619656. The cubic root of 48732336 is about 365.2630517594.
It can be divided in two parts, 487 and 32336, that added together give a palindrome (32823).
The spelling of 48732336 in words is "forty-eight million, seven hundred thirty-two thousand, three hundred thirty-six".
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