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42126231 = 37340939
BaseRepresentation
bin1010000010110…
…0101110010111
32221021020022210
42200230232113
541241014411
64102524503
71021032000
oct240545627
987236283
1042126231
1121863074
1212136733
13895c584
1458481a7
153a71ca6
hex282cb97

42126231 has 16 divisors (see below), whose sum is σ = 65504000. Its totient is φ = 24071544.

The previous prime is 42126223. The next prime is 42126263. The reversal of 42126231 is 13262124.

42126231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42126231 - 23 = 42126223 is a prime.

It is a super-2 number, since 2×421262312 = 3549238676530722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42126198 and 42126207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126031) 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, 19441 + ... + 21498.

It is an arithmetic number, because the mean of its divisors is an integer number (4094000).

Almost surely, 242126231 is an apocalyptic number.

42126231 is a deficient number, since it is larger than the sum of its proper divisors (23377769).

42126231 is an equidigital number, since it uses as much as digits as its factorization.

42126231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40963 (or 40949 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 42126231 is about 6490.4723248774. The cubic root of 42126231 is about 347.9505561277.

Adding to 42126231 its reverse (13262124), we get a palindrome (55388355).

The spelling of 42126231 in words is "forty-two million, one hundred twenty-six thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 147 343 1029 40939 122817 286573 859719 2006011 6018033 14042077 42126231