Search a number
-
+
41008064 = 264713633
BaseRepresentation
bin1001110001101…
…1101111000000
32212011102111012
42130123233000
540444224224
64022540052
71005364016
oct234335700
985142435
1041008064
1121169a69
1211897628
13865a636
1456368b6
15390080e
hex271bbc0

41008064 has 28 divisors (see below), whose sum is σ = 83112864. Its totient is φ = 20066304.

The previous prime is 41008049. The next prime is 41008091. The reversal of 41008064 is 46080014.

It is a happy number.

41008064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410080642 = 3363322626056192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3809 + ... + 9824.

Almost surely, 241008064 is an apocalyptic number.

It is an amenable number.

41008064 is an abundant number, since it is smaller than the sum of its proper divisors (42104800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41008064 is a wasteful number, since it uses less digits than its factorization.

41008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13692 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41008064 is about 6403.7538990814. The cubic root of 41008064 is about 344.8443294049.

Adding to 41008064 its reverse (46080014), we get a palindrome (87088078).

The spelling of 41008064 in words is "forty-one million, eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 13633 27266 54532 109064 218128 436256 640751 872512 1281502 2563004 5126008 10252016 20504032 41008064