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41584013 is a prime number
BaseRepresentation
bin1001111010100…
…0010110001101
32220020200112122
42132220112031
541121142023
64043142325
71013313122
oct236502615
986220478
1041584013
1121522759
1211b149a5
1387cc833
145746749
1539b62c8
hex27a858d

41584013 has 2 divisors, whose sum is σ = 41584014. Its totient is φ = 41584012.

The previous prime is 41584009. The next prime is 41584033. The reversal of 41584013 is 31048514.

41584013 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., 29626249 + 11957764 = 5443^2 + 3458^2 .

It is a cyclic number.

It is not a de Polignac number, because 41584013 - 22 = 41584009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41584003) 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, 20792006 + 20792007.

It is an arithmetic number, because the mean of its divisors is an integer number (20792007).

Almost surely, 241584013 is an apocalyptic number.

It is an amenable number.

41584013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41584013 is an equidigital number, since it uses as much as digits as its factorization.

41584013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 41584013 is about 6448.5667399818. The cubic root of 41584013 is about 346.4512500243.

The spelling of 41584013 in words is "forty-one million, five hundred eighty-four thousand, thirteen".