Search a number
-
+
46545137 is a prime number
BaseRepresentation
bin1011000110001…
…1100011110001
310020120201220222
42301203203301
543403421022
64341342425
71103425052
oct261434361
9106521828
1046545137
1124301061
1213707a15
139848a02
146278729
154146242
hex2c638f1

46545137 has 2 divisors, whose sum is σ = 46545138. Its totient is φ = 46545136.

The previous prime is 46545113. The next prime is 46545151. The reversal of 46545137 is 73154564.

46545137 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., 25715041 + 20830096 = 5071^2 + 4564^2 .

It is a cyclic number.

It is not a de Polignac number, because 46545137 - 26 = 46545073 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 46545097 and 46545106.

It is not a weakly prime, because it can be changed into another prime (46545157) 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, 23272568 + 23272569.

It is an arithmetic number, because the mean of its divisors is an integer number (23272569).

Almost surely, 246545137 is an apocalyptic number.

It is an amenable number.

46545137 is a deficient number, since it is larger than the sum of its proper divisors (1).

46545137 is an equidigital number, since it uses as much as digits as its factorization.

46545137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 35.

The square root of 46545137 is about 6822.3996511491. The cubic root of 46545137 is about 359.7146323914.

The spelling of 46545137 in words is "forty-six million, five hundred forty-five thousand, one hundred thirty-seven".