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42023413 is a prime number
BaseRepresentation
bin1010000001001…
…1100111110101
32221002000021201
42200103213311
541224222123
64100412501
71020123145
oct240234765
987060251
1042023413
11217a28a3
12120a7131
138924833
14581c925
153a515ad
hex28139f5

42023413 has 2 divisors, whose sum is σ = 42023414. Its totient is φ = 42023412.

The previous prime is 42023389. The next prime is 42023417. The reversal of 42023413 is 31432024.

42023413 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 can be written as a sum of positive squares in only one way, i.e., 38663524 + 3359889 = 6218^2 + 1833^2 .

It is a cyclic number.

It is not a de Polignac number, because 42023413 - 25 = 42023381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42023417) 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, 21011706 + 21011707.

It is an arithmetic number, because the mean of its divisors is an integer number (21011707).

Almost surely, 242023413 is an apocalyptic number.

It is an amenable number.

42023413 is a deficient number, since it is larger than the sum of its proper divisors (1).

42023413 is an equidigital number, since it uses as much as digits as its factorization.

42023413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 42023413 is about 6482.5467989055. The cubic root of 42023413 is about 347.6672431346.

Adding to 42023413 its reverse (31432024), we get a palindrome (73455437).

It can be divided in two parts, 42023 and 413, that added together give a square (42436 = 2062).

The spelling of 42023413 in words is "forty-two million, twenty-three thousand, four hundred thirteen".