Base | Representation |
---|---|
bin | 1010000111001… |
… | …1101001101100 |
3 | 2221210222211200 |
4 | 2201303221230 |
5 | 41324313443 |
6 | 4113045500 |
7 | 1023351663 |
oct | 241635154 |
9 | 87728750 |
10 | 42416748 |
11 | 21a41370 |
12 | 12256890 |
13 | 8a3188a |
14 | 58c1dda |
15 | 3accdd3 |
hex | 2873a6c |
42416748 has 144 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 12055680.
The previous prime is 42416747. The next prime is 42416753. The reversal of 42416748 is 84761424.
42416748 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 not an unprimeable number, because it can be changed into a prime (42416743) 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, 800290 + ... + 800342.
It is an arithmetic number, because the mean of its divisors is an integer number (864864).
Almost surely, 242416748 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 42416748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).
42416748 is an abundant number, since it is smaller than the sum of its proper divisors (82123668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42416748 is a wasteful number, since it uses less digits than its factorization.
42416748 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 159 counting only the distinct ones).
The product of its digits is 43008, while the sum is 36.
The square root of 42416748 is about 6512.8141382969. The cubic root of 42416748 is about 348.7485867288.
The spelling of 42416748 in words is "forty-two million, four hundred sixteen thousand, seven hundred forty-eight".
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