Base | Representation |
---|---|
bin | 1010000001101… |
… | …1111001010101 |
3 | 2221010201202211 |
4 | 2200123321111 |
5 | 41231313201 |
6 | 4101233421 |
7 | 1020324016 |
oct | 240337125 |
9 | 87121684 |
10 | 42057301 |
11 | 21816300 |
12 | 12102871 |
13 | 89370a0 |
14 | 582b00d |
15 | 3a5b651 |
hex | 281be55 |
42057301 has 12 divisors (see below), whose sum is σ = 49786156. Its totient is φ = 35291520.
The previous prime is 42057299. The next prime is 42057329. The reversal of 42057301 is 10375024.
42057301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 16564900 + 25492401 = 4070^2 + 5049^2 .
It is not a de Polignac number, because 42057301 - 21 = 42057299 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42057331) 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 11 ways as a sum of consecutive naturals, for example, 11796 + ... + 14941.
Almost surely, 242057301 is an apocalyptic number.
It is an amenable number.
42057301 is a deficient number, since it is larger than the sum of its proper divisors (7728855).
42057301 is a wasteful number, since it uses less digits than its factorization.
42057301 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26772 (or 26761 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 22.
The square root of 42057301 is about 6485.1600597055. The cubic root of 42057301 is about 347.7606718620.
The spelling of 42057301 in words is "forty-two million, fifty-seven thousand, three hundred one".
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