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42573413 is a prime number
BaseRepresentation
bin1010001001100…
…1111001100101
32222002221202002
42202121321211
541344322123
64120255045
71024603511
oct242317145
988087662
1042573413
1122039043
1212311485
138a87c8c
145923141
153b0e528
hex2899e65

42573413 has 2 divisors, whose sum is σ = 42573414. Its totient is φ = 42573412.

The previous prime is 42573409. The next prime is 42573431. The reversal of 42573413 is 31437524.

It is a happy number.

42573413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (42573431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42211009 + 362404 = 6497^2 + 602^2 .

It is a cyclic number.

It is not a de Polignac number, because 42573413 - 22 = 42573409 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42573403) 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, 21286706 + 21286707.

It is an arithmetic number, because the mean of its divisors is an integer number (21286707).

Almost surely, 242573413 is an apocalyptic number.

It is an amenable number.

42573413 is a deficient number, since it is larger than the sum of its proper divisors (1).

42573413 is an equidigital number, since it uses as much as digits as its factorization.

42573413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 29.

The square root of 42573413 is about 6524.8304958826. The cubic root of 42573413 is about 349.1774233814.

The spelling of 42573413 in words is "forty-two million, five hundred seventy-three thousand, four hundred thirteen".