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41150880 = 2532517412
BaseRepresentation
bin1001110011111…
…0100110100000
32212102200101200
42130332212200
541013312010
64030001200
71006530261
oct234764640
985380350
1041150880
11212572a1
1211946200
1386aa644
145672968
15392ccc0
hex273e9a0

41150880 has 216 divisors, whose sum is σ = 152402796. Its totient is φ = 10076160.

The previous prime is 41150873. The next prime is 41150891. The reversal of 41150880 is 8805114.

41150880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3549456 + 37601424 = 1884^2 + 6132^2 .

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 35 ways as a sum of consecutive naturals, for example, 1003660 + ... + 1003700.

Almost surely, 241150880 is an apocalyptic number.

41150880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76201398).

41150880 is an abundant number, since it is smaller than the sum of its proper divisors (111251916).

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

41150880 is a wasteful number, since it uses less digits than its factorization.

41150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 41150880 is about 6414.8951667194. The cubic root of 41150880 is about 345.2441875542.

Adding to 41150880 its reverse (8805114), we get a palindrome (49955994).

The spelling of 41150880 in words is "forty-one million, one hundred fifty thousand, eight hundred eighty".