Base | Representation |
---|---|
bin | 1011100111011… |
… | …1101001000000 |
3 | 10101200110111202 |
4 | 2321313221000 |
5 | 44433141134 |
6 | 4500200332 |
7 | 1131103031 |
oct | 271675100 |
9 | 111613452 |
10 | 48724544 |
11 | 2555a520 |
12 | 143990a8 |
13 | a12c9bb |
14 | 6684a88 |
15 | 4426d7e |
hex | 2e77a40 |
48724544 has 56 divisors (see below), whose sum is σ = 107155488. Its totient is φ = 21795840.
The previous prime is 48724541. The next prime is 48724561. The reversal of 48724544 is 44542784.
48724544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 48724498 and 48724507.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48724541) 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, 46652 + ... + 47684.
Almost surely, 248724544 is an apocalyptic number.
48724544 is a gapful number since it is divisible by the number (44) 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 48724544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53577744).
48724544 is an abundant number, since it is smaller than the sum of its proper divisors (58430944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48724544 is a wasteful number, since it uses less digits than its factorization.
48724544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).
The product of its digits is 143360, while the sum is 38.
The square root of 48724544 is about 6980.2968418256. The cubic root of 48724544 is about 365.2435829519.
The spelling of 48724544 in words is "forty-eight million, seven hundred twenty-four thousand, five hundred forty-four".
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