Search a number
-
+
48772049 is a prime number
BaseRepresentation
bin1011101000001…
…1001111010001
310101202212200012
42322003033101
544441201144
64501204305
71131361364
oct272031721
9111685605
1048772049
1125592187
1214400695
13a148501
1466980db
154435e9e
hex2e833d1

48772049 has 2 divisors, whose sum is σ = 48772050. Its totient is φ = 48772048.

The previous prime is 48772039. The next prime is 48772051. The reversal of 48772049 is 94027784.

48772049 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., 29235649 + 19536400 = 5407^2 + 4420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48772049 is a prime.

Together with 48772051, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 48771997 and 48772015.

It is not a weakly prime, because it can be changed into another prime (48772039) 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, 24386024 + 24386025.

It is an arithmetic number, because the mean of its divisors is an integer number (24386025).

Almost surely, 248772049 is an apocalyptic number.

It is an amenable number.

48772049 is a deficient number, since it is larger than the sum of its proper divisors (1).

48772049 is an equidigital number, since it uses as much as digits as its factorization.

48772049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 48772049 is about 6983.6988050746. The cubic root of 48772049 is about 365.3622449866.

The spelling of 48772049 in words is "forty-eight million, seven hundred seventy-two thousand, forty-nine".