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41144080 = 2451730253
BaseRepresentation
bin1001110011110…
…0111100010000
32212102100001211
42130330330100
541013102310
64025505504
71006501405
oct234747420
985370054
1041144080
112125217a
1211942294
1386a7513
1456702ac
15392ac8a
hex273cf10

41144080 has 40 divisors (see below), whose sum is σ = 101290392. Its totient is φ = 15489024.

The previous prime is 41144057. The next prime is 41144083. The reversal of 41144080 is 8044114.

41144080 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 4 ways, for example, as 19465744 + 21678336 = 4412^2 + 4656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (41144083) 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, 13767 + ... + 16486.

Almost surely, 241144080 is an apocalyptic number.

41144080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41144080 is an abundant number, since it is smaller than the sum of its proper divisors (60146312).

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

41144080 is a wasteful number, since it uses less digits than its factorization.

41144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30283 (or 30277 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 41144080 is about 6414.3651283662. The cubic root of 41144080 is about 345.2251698175.

Adding to 41144080 its reverse (8044114), we get a palindrome (49188194).

The spelling of 41144080 in words is "forty-one million, one hundred forty-four thousand, eighty".