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41221664 = 2511181647
BaseRepresentation
bin1001110100111…
…1111000100000
32212120021111022
42131033320200
541023043124
64031305012
71010243531
oct235177040
985507438
1041221664
11212a54a0
121197b168
138703923
145690688
153943c5e
hex274fe20

41221664 has 48 divisors (see below), whose sum is σ = 89159616. Its totient is φ = 18604800.

The previous prime is 41221633. The next prime is 41221667. The reversal of 41221664 is 46612214.

41221664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41221667) 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, 63389 + ... + 64035.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 241221664 is an apocalyptic number.

41221664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

41221664 is an abundant number, since it is smaller than the sum of its proper divisors (47937952).

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

41221664 is a wasteful number, since it uses less digits than its factorization.

41221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 41221664 is about 6420.4099557583. The cubic root of 41221664 is about 345.4420267099.

Adding to 41221664 its reverse (46612214), we get a palindrome (87833878).

The spelling of 41221664 in words is "forty-one million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 181 352 362 647 724 1294 1448 1991 2588 2896 3982 5176 5792 7117 7964 10352 14234 15928 20704 28468 31856 56936 63712 113872 117107 227744 234214 468428 936856 1288177 1873712 2576354 3747424 5152708 10305416 20610832 41221664