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41641664 = 261036317
BaseRepresentation
bin1001111011011…
…0011011000000
32220100121121212
42132312123000
541130013124
64044305252
71013643161
oct236663300
986317555
1041641664
1121561aa9
1211b42228
13881cb4c
14575d768
1539c840e
hex27b66c0

41641664 has 28 divisors (see below), whose sum is σ = 83448144. Its totient is φ = 20615424.

The previous prime is 41641637. The next prime is 41641679. The reversal of 41641664 is 46614614.

41641664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41641664.

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, 3434 + ... + 9750.

Almost surely, 241641664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41724072).

41641664 is an abundant number, since it is smaller than the sum of its proper divisors (41806480).

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

41641664 is a wasteful number, since it uses less digits than its factorization.

41641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6422 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 41641664 is about 6453.0352548239. The cubic root of 41641664 is about 346.6112797772.

It can be divided in two parts, 4 and 1641664, that multiplied together give a palindrome (6566656).

The spelling of 41641664 in words is "forty-one million, six hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1648 3296 6317 6592 12634 25268 50536 101072 202144 404288 650651 1301302 2602604 5205208 10410416 20820832 41641664