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41149568 = 27417841
BaseRepresentation
bin1001110011111…
…0010010000000
32212102121121002
42130332102000
541013241233
64025551132
71006523405
oct234762200
985377532
1041149568
1121256309
12119454a8
1386a9b75
1456722ac
15392c6e8
hex273e480

41149568 has 32 divisors (see below), whose sum is σ = 83987820. Its totient is φ = 20070400.

The previous prime is 41149561. The next prime is 41149597. The reversal of 41149568 is 86594114.

It can be written as a sum of positive squares in 2 ways, for example, as 36096064 + 5053504 = 6008^2 + 2248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41149561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1328 + ... + 9168.

Almost surely, 241149568 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 41149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41993910).

41149568 is an abundant number, since it is smaller than the sum of its proper divisors (42838252).

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

41149568 is an equidigital number, since it uses as much as digits as its factorization.

41149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7884 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 41149568 is about 6414.7929039058. The cubic root of 41149568 is about 345.2405184128.

The spelling of 41149568 in words is "forty-one million, one hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 7841 15682 31364 62728 125456 250912 321481 501824 642962 1003648 1285924 2571848 5143696 10287392 20574784 41149568