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4049 is a prime number
BaseRepresentation
bin111111010001
312112222
4333101
5112144
630425
714543
oct7721
95488
104049
113051
122415
131ac6
141693
1512ee
hexfd1

4049 has 2 divisors, whose sum is σ = 4050. Its totient is φ = 4048.

The previous prime is 4027. The next prime is 4051. The reversal of 4049 is 9404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 1024 = 55^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 4049 - 28 = 3793 is a prime.

Together with 4051, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4049.

It is not a weakly prime, because it can be changed into another prime (4019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2024 + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

24049 is an apocalyptic number.

It is an amenable number.

4049 is a deficient number, since it is larger than the sum of its proper divisors (1).

4049 is an equidigital number, since it uses as much as digits as its factorization.

4049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4049 is about 63.6317530797. The cubic root of 4049 is about 15.9385665056.

The spelling of 4049 in words is "four thousand, forty-nine".