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47242057 is a prime number
BaseRepresentation
bin1011010000110…
…1101101001001
310021220010220211
42310031231021
544043221212
64404321121
71112356642
oct264155511
9107803824
1047242057
1124737725
12139a31a1
139a30ca5
1463ba6c9
1542329a7
hex2d0db49

47242057 has 2 divisors, whose sum is σ = 47242058. Its totient is φ = 47242056.

The previous prime is 47242033. The next prime is 47242061. The reversal of 47242057 is 75024274.

47242057 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., 34999056 + 12243001 = 5916^2 + 3499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47242057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47242157) 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, 23621028 + 23621029.

It is an arithmetic number, because the mean of its divisors is an integer number (23621029).

Almost surely, 247242057 is an apocalyptic number.

It is an amenable number.

47242057 is a deficient number, since it is larger than the sum of its proper divisors (1).

47242057 is an equidigital number, since it uses as much as digits as its factorization.

47242057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 47242057 is about 6873.2857499161. The cubic root of 47242057 is about 361.5010805439.

The spelling of 47242057 in words is "forty-seven million, two hundred forty-two thousand, fifty-seven".