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41606272 = 27536133
BaseRepresentation
bin1001111010110…
…1110010000000
32220021211002001
42132231302000
541122400042
64043433344
71013435041
oct236556200
986254061
1041606272
1121538454
1211b25854
1388099c6
1457508c8
1539bcbb7
hex27adc80

41606272 has 32 divisors (see below), whose sum is σ = 84465180. Its totient is φ = 20407296.

The previous prime is 41606249. The next prime is 41606291. The reversal of 41606272 is 27260614.

It can be written as a sum of positive squares in 2 ways, for example, as 34762816 + 6843456 = 5896^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41606272.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3718 + ... + 9850.

Almost surely, 241606272 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 41606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42232590).

41606272 is an abundant number, since it is smaller than the sum of its proper divisors (42858908).

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

41606272 is an equidigital number, since it uses as much as digits as its factorization.

41606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 41606272 is about 6450.2923964732. The cubic root of 41606272 is about 346.5130548884.

Adding to 41606272 its reverse (27260614), we get a palindrome (68866886).

The spelling of 41606272 in words is "forty-one million, six hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6133 6784 12266 24532 49064 98128 196256 325049 392512 650098 785024 1300196 2600392 5200784 10401568 20803136 41606272