Search a number
-
+
48000041 is a prime number
BaseRepresentation
bin1011011100011…
…0110000101001
310100022122200022
42313012300221
544242000131
64432450225
71121664545
oct267066051
9110278608
1048000041
1125105161
12140a9975
139c37cbb
146536a25
15433237b
hex2dc6c29

48000041 has 2 divisors, whose sum is σ = 48000042. Its totient is φ = 48000040.

The previous prime is 48000013. The next prime is 48000089. The reversal of 48000041 is 14000084.

It is a happy number.

48000041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26050816 + 21949225 = 5104^2 + 4685^2 .

It is a cyclic number.

It is not a de Polignac number, because 48000041 - 218 = 47737897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47999983 and 48000019.

It is not a weakly prime, because it can be changed into another prime (48000941) 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, 24000020 + 24000021.

It is an arithmetic number, because the mean of its divisors is an integer number (24000021).

Almost surely, 248000041 is an apocalyptic number.

It is an amenable number.

48000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

48000041 is an equidigital number, since it uses as much as digits as its factorization.

48000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 48000041 is about 6928.2061891950. The cubic root of 48000041 is about 363.4242220413.

The spelling of 48000041 in words is "forty-eight million, forty-one", and thus it is an aban number and an uban number.