| Base | Representation |
|---|---|
| bin | 1010001100101… |
| … | …1111101001000 |
| 3 | 2222111100222200 |
| 4 | 2203023331020 |
| 5 | 41422402230 |
| 6 | 4124520200 |
| 7 | 1026416325 |
| oct | 243137510 |
| 9 | 88440880 |
| 10 | 42778440 |
| 11 | 22169091 |
| 12 | 123b0060 |
| 13 | 8b2a3b3 |
| 14 | 5977b4c |
| 15 | 3b50160 |
| hex | 28cbf48 |
42778440 has 96 divisors (see below), whose sum is σ = 139838400. Its totient is φ = 11341440.
The previous prime is 42778403. The next prime is 42778441. The reversal of 42778440 is 4487724.
42778440 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 zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 42778395 and 42778404.
It is not an unprimeable number, because it can be changed into a prime (42778441) 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, 118981 + ... + 119339.
It is an arithmetic number, because the mean of its divisors is an integer number (1456650).
Almost surely, 242778440 is an apocalyptic number.
42778440 is a gapful number since it is divisible by the number (40) 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 42778440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69919200).
42778440 is an abundant number, since it is smaller than the sum of its proper divisors (97059960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42778440 is a wasteful number, since it uses less digits than its factorization.
42778440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 707 (or 700 counting only the distinct ones).
The product of its (nonzero) digits is 50176, while the sum is 36.
The square root of 42778440 is about 6540.5229148746. The cubic root of 42778440 is about 349.7370542059.
The spelling of 42778440 in words is "forty-two million, seven hundred seventy-eight thousand, four hundred forty".
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