41616 has 45 divisors (see below), whose sum is σ = 123721. Its totient is φ = 13056.

The previous prime is 41611. The next prime is 41617. The reversal of 41616 is 61614.

Multipling 41616 by its product of digits (144), we get a square (5992704 = 2448^{2}).

41616 divided by its product of digits (144) gives a square (289 = 17^{2}).

41616 = T_{203} + T_{204}.

41616 = 23^{3} + 24^{3} + 25^{3}.

The square root of 41616 is 204.

It is a perfect power (a square), and thus also a powerful number.

41616 is a nontrivial binomial coefficient, being equal to C(289, 2).

It can be written as a sum of positive squares in only one way, i.e., 32400 + 9216 = 180^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

Its product of digits (144) is a multiple of the sum of its prime factors (48).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (41611) by changing a digit.

41616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2440 + ... + 2456.

2^{41616} is an apocalyptic number.

41616 is the 288-th triangular number and also the 204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41616

41616 is an abundant number, since it is smaller than the sum of its proper divisors (82105).

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

41616 is a wasteful number, since it uses less digits than its factorization.

41616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 22 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The cubic root of 41616 is about 34.6540058961.

The spelling of 41616 in words is "forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 13872 20808 41616

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