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41606016 = 273971117
BaseRepresentation
bin1001111010110…
…1101110000000
32220021210201120
42132231232000
541122343031
64043432240
71013434224
oct236555600
986253646
1041606016
1121538241
1211b25680
13880985a
145750784
1539bca96
hex27adb80

41606016 has 64 divisors (see below), whose sum is σ = 111755280. Its totient is φ = 13713408.

The previous prime is 41606009. The next prime is 41606017. The reversal of 41606016 is 61060614.

41606016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41606017) 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, 36690 + ... + 37806.

Almost surely, 241606016 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 41606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55877640).

41606016 is an abundant number, since it is smaller than the sum of its proper divisors (70149264).

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

41606016 is a wasteful number, since it uses less digits than its factorization.

41606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41606016 is about 6450.2725523810. The cubic root of 41606016 is about 346.5123441981.

The spelling of 41606016 in words is "forty-one million, six hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1117 1164 1552 2234 2328 3104 3351 4468 4656 6208 6702 8936 9312 12416 13404 17872 18624 26808 35744 37248 53616 71488 107232 108349 142976 214464 216698 325047 428928 433396 650094 866792 1300188 1733584 2600376 3467168 5200752 6934336 10401504 13868672 20803008 41606016