Base | Representation |
---|---|
bin | 1010000010110… |
… | …1111001010000 |
3 | 2221021110220022 |
4 | 2200231321100 |
5 | 41241143044 |
6 | 4103003012 |
7 | 1021051655 |
oct | 240557120 |
9 | 87243808 |
10 | 42131024 |
11 | 21866731 |
12 | 12139468 |
13 | 8961800 |
14 | 5849c2c |
15 | 3a733ee |
hex | 282de50 |
42131024 has 30 divisors (see below), whose sum is σ = 88396686. Its totient is φ = 19443840.
The previous prime is 42131021. The next prime is 42131027. The reversal of 42131024 is 42013124.
It is an interprime number because it is at equal distance from previous prime (42131021) and next prime (42131027).
It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 41731600 = 632^2 + 6460^2 .
It is a junction number, because it is equal to n+sod(n) for n = 42130993 and 42131011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42131021) 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 5 ways as a sum of consecutive naturals, for example, 5087 + ... + 10494.
Almost surely, 242131024 is an apocalyptic number.
It is an amenable number.
42131024 is an abundant number, since it is smaller than the sum of its proper divisors (46265662).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42131024 is a wasteful number, since it uses less digits than its factorization.
42131024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15615 (or 15596 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 42131024 is about 6490.8415479042. The cubic root of 42131024 is about 347.9637518945.
Adding to 42131024 its reverse (42013124), we get a palindrome (84144148).
The spelling of 42131024 in words is "forty-two million, one hundred thirty-one thousand, twenty-four".
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