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41139216 = 24321092621
BaseRepresentation
bin1001110011101…
…1110000010000
32212102002101200
42130323300100
541012423331
64025431200
71006451256
oct234736020
985362350
1041139216
1121249558
121193b500
1386a5241
14566c5d6
1539295e6
hex273bc10

41139216 has 60 divisors (see below), whose sum is σ = 116233260. Its totient is φ = 13582080.

The previous prime is 41139191. The next prime is 41139233. The reversal of 41139216 is 61293114.

41139216 is a `hidden beast` number, since 411 + 39 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31404816 + 9734400 = 5604^2 + 3120^2 .

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 41139216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14386 + ... + 17006.

It is an arithmetic number, because the mean of its divisors is an integer number (1937221).

Almost surely, 241139216 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 41139216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58116630).

41139216 is an abundant number, since it is smaller than the sum of its proper divisors (75094044).

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

41139216 is a wasteful number, since it uses less digits than its factorization.

41139216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2735 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 41139216 is about 6413.9859681792. The cubic root of 41139216 is about 345.2115652568.

The spelling of 41139216 in words is "forty-one million, one hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 2621 3924 5232 5242 7848 7863 10484 15696 15726 20968 23589 31452 41936 47178 62904 94356 125808 188712 285689 377424 571378 857067 1142756 1714134 2285512 2571201 3428268 4571024 5142402 6856536 10284804 13713072 20569608 41139216