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47741 is a prime number
BaseRepresentation
bin1011101001111101
32102111012
423221331
53011431
61005005
7256121
oct135175
972435
1047741
1132961
1223765
1318965
1413581
15e22b
hexba7d

47741 has 2 divisors, whose sum is σ = 47742. Its totient is φ = 47740.

The previous prime is 47737. The next prime is 47743. The reversal of 47741 is 14774.

47741 = 1542 + 1552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 23716 = 155^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 47741 - 22 = 47737 is a prime.

It is a Sophie Germain prime.

Together with 47743, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23870 + 23871.

It is an arithmetic number, because the mean of its divisors is an integer number (23871).

247741 is an apocalyptic number.

47741 is the 155-th centered square number.

It is an amenable number.

47741 is a deficient number, since it is larger than the sum of its proper divisors (1).

47741 is an equidigital number, since it uses as much as digits as its factorization.

47741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 784, while the sum is 23.

The square root of 47741 is about 218.4971395694. The cubic root of 47741 is about 36.2769280694.

The spelling of 47741 in words is "forty-seven thousand, seven hundred forty-one", and thus it is an iban number.