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42055649 is a prime number
BaseRepresentation
bin1010000001101…
…1011111100001
32221010122111122
42200123133201
541231240044
64101222025
71020316136
oct240333741
987118448
1042055649
1121815039
1212101915
1389363cc
14582a58d
153a5adee
hex281b7e1

42055649 has 2 divisors, whose sum is σ = 42055650. Its totient is φ = 42055648.

The previous prime is 42055583. The next prime is 42055681. The reversal of 42055649 is 94655024.

It is a happy number.

42055649 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., 31719424 + 10336225 = 5632^2 + 3215^2 .

It is a cyclic number.

It is not a de Polignac number, because 42055649 - 28 = 42055393 is a prime.

It is a super-2 number, since 2×420556492 = 3537355225622402, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42085649) 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, 21027824 + 21027825.

It is an arithmetic number, because the mean of its divisors is an integer number (21027825).

Almost surely, 242055649 is an apocalyptic number.

It is an amenable number.

42055649 is a deficient number, since it is larger than the sum of its proper divisors (1).

42055649 is an equidigital number, since it uses as much as digits as its factorization.

42055649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 42055649 is about 6485.0326907426. The cubic root of 42055649 is about 347.7561184857.

The spelling of 42055649 in words is "forty-two million, fifty-five thousand, six hundred forty-nine".