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47057117 is a prime number
BaseRepresentation
bin1011001110000…
…0100011011101
310021112202020012
42303200203131
544021311432
64400333005
71110656522
oct263404335
9107482205
1047057117
1124620788
1213914165
139997a63
14636d149
1541e7cb2
hex2ce08dd

47057117 has 2 divisors, whose sum is σ = 47057118. Its totient is φ = 47057116.

The previous prime is 47057113. The next prime is 47057119. The reversal of 47057117 is 71175074.

It is a happy number.

47057117 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., 47045881 + 11236 = 6859^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 47057117 - 22 = 47057113 is a prime.

Together with 47057119, 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 (47057113) 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, 23528558 + 23528559.

It is an arithmetic number, because the mean of its divisors is an integer number (23528559).

Almost surely, 247057117 is an apocalyptic number.

It is an amenable number.

47057117 is a deficient number, since it is larger than the sum of its proper divisors (1).

47057117 is an equidigital number, since it uses as much as digits as its factorization.

47057117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 47057117 is about 6859.8190209363. The cubic root of 47057117 is about 361.0287370048.

It can be divided in two parts, 47057 and 117, that added together give a palindrome (47174).

The spelling of 47057117 in words is "forty-seven million, fifty-seven thousand, one hundred seventeen".