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42105493 is a prime number
BaseRepresentation
bin1010000010011…
…1101010010101
32221020011212201
42200213222111
541234333433
64102244501
71020614353
oct240475225
987204781
1042105493
1121849531
1212126731
138952cc1
1458407d3
153a6aa7d
hex2827a95

42105493 has 2 divisors, whose sum is σ = 42105494. Its totient is φ = 42105492.

The previous prime is 42105491. The next prime is 42105523. The reversal of 42105493 is 39450124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33385284 + 8720209 = 5778^2 + 2953^2 .

It is a cyclic number.

It is not a de Polignac number, because 42105493 - 21 = 42105491 is a prime.

Together with 42105491, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42105491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21052746 + 21052747.

It is an arithmetic number, because the mean of its divisors is an integer number (21052747).

Almost surely, 242105493 is an apocalyptic number.

It is an amenable number.

42105493 is a deficient number, since it is larger than the sum of its proper divisors (1).

42105493 is an equidigital number, since it uses as much as digits as its factorization.

42105493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 42105493 is about 6488.8745557300. The cubic root of 42105493 is about 347.8934501167.

The spelling of 42105493 in words is "forty-two million, one hundred five thousand, four hundred ninety-three".