| Base | Representation |
|---|---|
| bin | 1010001101001… |
| … | …0100111100000 |
| 3 | 2222112202102100 |
| 4 | 2203102213200 |
| 5 | 41424240403 |
| 6 | 4125250400 |
| 7 | 1026562020 |
| oct | 243224740 |
| 9 | 88482370 |
| 10 | 42805728 |
| 11 | 22187639 |
| 12 | 12403a00 |
| 13 | 8b39944 |
| 14 | 5983a80 |
| 15 | 3b582a3 |
| hex | 28d29e0 |
42805728 has 144 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 11501568.
The previous prime is 42805723. The next prime is 42805751. The reversal of 42805728 is 82750824.
It is a happy number.
42805728 is a `hidden beast` number, since 4 + 2 + 80 + 572 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 42805692 and 42805701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42805723) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33648 + ... + 34896.
It is an arithmetic number, because the mean of its divisors is an integer number (1023750).
Almost surely, 242805728 is an apocalyptic number.
42805728 is a gapful number since it is divisible by the number (48) 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 42805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).
42805728 is an abundant number, since it is smaller than the sum of its proper divisors (104614272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42805728 is a wasteful number, since it uses less digits than its factorization.
42805728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1289 (or 1278 counting only the distinct ones).
The product of its (nonzero) digits is 35840, while the sum is 36.
The square root of 42805728 is about 6542.6086540462. The cubic root of 42805728 is about 349.8114031551.
The spelling of 42805728 in words is "forty-two million, eight hundred five thousand, seven hundred twenty-eight".
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