Base | Representation |
---|---|
bin | 1010000100101… |
… | …1111011011000 |
3 | 2221111201122110 |
4 | 2201023323120 |
5 | 41304112130 |
6 | 4105352320 |
7 | 1022103423 |
oct | 241137330 |
9 | 87451573 |
10 | 42254040 |
11 | 219400a4 |
12 | 121986a0 |
13 | 89a57ba |
14 | 587c9ba |
15 | 3a99ab0 |
hex | 284bed8 |
42254040 has 64 divisors (see below), whose sum is σ = 127411200. Its totient is φ = 11210112.
The previous prime is 42253973. The next prime is 42254041. The reversal of 42254040 is 4045224.
42254040 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 = 42253998 and 42254016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42254041) 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 15 ways as a sum of consecutive naturals, for example, 25971 + ... + 27549.
It is an arithmetic number, because the mean of its divisors is an integer number (1990800).
Almost surely, 242254040 is an apocalyptic number.
42254040 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 42254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63705600).
42254040 is an abundant number, since it is smaller than the sum of its proper divisors (85157160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42254040 is a wasteful number, since it uses less digits than its factorization.
42254040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 21.
The square root of 42254040 is about 6500.3107618021. The cubic root of 42254040 is about 348.3020893862.
Adding to 42254040 its reverse (4045224), we get a palindrome (46299264).
The spelling of 42254040 in words is "forty-two million, two hundred fifty-four thousand, forty".
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