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41216616 = 23327531543
BaseRepresentation
bin1001110100111…
…0101001101000
32212120000120100
42131032221220
541022412431
64031225400
71010223030
oct235165150
985500510
1041216616
11212a1721
1211978260
13870153c
14568c8c0
1539424e6
hex274ea68

41216616 has 96 divisors (see below), whose sum is σ = 130066560. Its totient is φ = 11546496.

The previous prime is 41216597. The next prime is 41216671. The reversal of 41216616 is 61661214.

41216616 is a `hidden beast` number, since 41 + 2 + 1 + 6 + 616 = 666.

41216616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41216616.

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 23 ways as a sum of consecutive naturals, for example, 25941 + ... + 27483.

It is an arithmetic number, because the mean of its divisors is an integer number (1354860).

Almost surely, 241216616 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 41216616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65033280).

41216616 is an abundant number, since it is smaller than the sum of its proper divisors (88849944).

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

41216616 is a wasteful number, since it uses less digits than its factorization.

41216616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1608 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 41216616 is about 6420.0168224079. The cubic root of 41216616 is about 345.4279252047.

The spelling of 41216616 in words is "forty-one million, two hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1543 1908 2226 2968 3086 3339 3816 4452 4629 6172 6678 8904 9258 10801 12344 13356 13887 18516 21602 26712 27774 32403 37032 43204 55548 64806 81779 86408 97209 111096 129612 163558 194418 245337 259224 327116 388836 490674 572453 654232 736011 777672 981348 1144906 1472022 1717359 1962696 2289812 2944044 3434718 4579624 5152077 5888088 6869436 10304154 13738872 20608308 41216616