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41584049 = 134768059
BaseRepresentation
bin1001111010100…
…0010110110001
32220020200120222
42132220112301
541121142144
64043142425
71013313203
oct236502661
986220528
1041584049
1121522791
1211b14a15
1387cc860
145746773
1539b62ee
hex27a85b1

41584049 has 8 divisors (see below), whose sum is σ = 45736320. Its totient is φ = 37568016.

The previous prime is 41584043. The next prime is 41584063. The reversal of 41584049 is 94048514.

It is a happy number.

41584049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41584049 - 24 = 41584033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41584043) 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 in 7 ways as a sum of consecutive naturals, for example, 33419 + ... + 34640.

It is an arithmetic number, because the mean of its divisors is an integer number (5717040).

Almost surely, 241584049 is an apocalyptic number.

It is an amenable number.

41584049 is a deficient number, since it is larger than the sum of its proper divisors (4152271).

41584049 is a wasteful number, since it uses less digits than its factorization.

41584049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68119.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 41584049 is about 6448.5695312992. The cubic root of 41584049 is about 346.4513500005.

The spelling of 41584049 in words is "forty-one million, five hundred eighty-four thousand, forty-nine".

Divisors: 1 13 47 611 68059 884767 3198773 41584049