Search a number
-
+
47582053 is a prime number
BaseRepresentation
bin1011010110000…
…0101101100101
310022112102022021
42311200231211
544140111203
64415503141
71115304121
oct265405545
9108472267
1047582053
112494a112
1213b27ab1
139b1c97c
146468581
15429d5bd
hex2d60b65

47582053 has 2 divisors, whose sum is σ = 47582054. Its totient is φ = 47582052.

The previous prime is 47582039. The next prime is 47582077. The reversal of 47582053 is 35028574.

It is a happy number.

47582053 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., 34492129 + 13089924 = 5873^2 + 3618^2 .

It is a cyclic number.

It is not a de Polignac number, because 47582053 - 213 = 47573861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47582083) 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, 23791026 + 23791027.

It is an arithmetic number, because the mean of its divisors is an integer number (23791027).

Almost surely, 247582053 is an apocalyptic number.

It is an amenable number.

47582053 is a deficient number, since it is larger than the sum of its proper divisors (1).

47582053 is an equidigital number, since it uses as much as digits as its factorization.

47582053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 47582053 is about 6897.9745577959. The cubic root of 47582053 is about 362.3662364971.

It can be divided in two parts, 475 and 82053, that added together give a palindrome (82528).

The spelling of 47582053 in words is "forty-seven million, five hundred eighty-two thousand, fifty-three".