Base | Representation |
---|---|
bin | 1110010100010… |
… | …0010110111100 |
3 | 11011222210111200 |
4 | 3211010112330 |
5 | 110333030303 |
6 | 5543015500 |
7 | 1326256320 |
oct | 345042674 |
9 | 134883450 |
10 | 60048828 |
11 | 30994634 |
12 | 1813a590 |
13 | c596268 |
14 | 7d91980 |
15 | 54123a3 |
hex | 39445bc |
60048828 has 144 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 15874560.
The previous prime is 60048823. The next prime is 60048839. The reversal of 60048828 is 82884006.
60048828 is a `hidden beast` number, since 600 + 48 + 8 + 2 + 8 = 666.
60048828 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 junction number, because it is equal to n+sod(n) for n = 60048792 and 60048801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (60048823) 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 47 ways as a sum of consecutive naturals, for example, 458323 + ... + 458453.
It is an arithmetic number, because the mean of its divisors is an integer number (1297296).
Almost surely, 260048828 is an apocalyptic number.
60048828 is a gapful number since it is divisible by the number (68) 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 60048828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).
60048828 is an abundant number, since it is smaller than the sum of its proper divisors (126761796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60048828 is a wasteful number, since it uses less digits than its factorization.
60048828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 272 (or 267 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 60048828 is about 7749.1178852822. The cubic root of 60048828 is about 391.5929326317.
The spelling of 60048828 in words is "sixty million, forty-eight thousand, eight hundred twenty-eight".
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