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42784997 is a prime number
BaseRepresentation
bin1010001100110…
…1100011100101
32222111200222112
42203031203211
541423104442
64125010405
71026444413
oct243154345
988450875
1042784997
1122173002
12123b3a05
138b30388
14597a2b3
153b52082
hex28cd8e5

42784997 has 2 divisors, whose sum is σ = 42784998. Its totient is φ = 42784996.

The previous prime is 42784969. The next prime is 42784999. The reversal of 42784997 is 79948724.

42784997 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., 42393121 + 391876 = 6511^2 + 626^2 .

It is a cyclic number.

It is not a de Polignac number, because 42784997 - 26 = 42784933 is a prime.

Together with 42784999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42784999) 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, 21392498 + 21392499.

It is an arithmetic number, because the mean of its divisors is an integer number (21392499).

Almost surely, 242784997 is an apocalyptic number.

It is an amenable number.

42784997 is a deficient number, since it is larger than the sum of its proper divisors (1).

42784997 is an equidigital number, since it uses as much as digits as its factorization.

42784997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 50.

The square root of 42784997 is about 6541.0241552833. The cubic root of 42784997 is about 349.7549223088.

The spelling of 42784997 in words is "forty-two million, seven hundred eighty-four thousand, nine hundred ninety-seven".