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42748031 is a prime number
BaseRepresentation
bin1010001100010…
…0100001111111
32222102211021102
42203010201333
541420414111
64124123315
71026231554
oct243044177
988384242
1042748031
1122148257
121239653b
138b195c1
14596aa2b
153b4613b
hex28c487f

42748031 has 2 divisors, whose sum is σ = 42748032. Its totient is φ = 42748030.

The previous prime is 42748019. The next prime is 42748033. The reversal of 42748031 is 13084724.

42748031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42748031 - 218 = 42485887 is a prime.

It is a super-2 number, since 2×427480312 = 3654788308753922, which contains 22 as substring.

Together with 42748033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42747985 and 42748003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42748033) 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 as a sum of consecutive naturals, namely, 21374015 + 21374016.

It is an arithmetic number, because the mean of its divisors is an integer number (21374016).

Almost surely, 242748031 is an apocalyptic number.

42748031 is a deficient number, since it is larger than the sum of its proper divisors (1).

42748031 is an equidigital number, since it uses as much as digits as its factorization.

42748031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 42748031 is about 6538.1978403838. The cubic root of 42748031 is about 349.6541645145.

The spelling of 42748031 in words is "forty-two million, seven hundred forty-eight thousand, thirty-one".