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41395040 = 255293883
BaseRepresentation
bin1001110111101…
…0001101100000
32212220002022122
42131322031200
541044120130
64035123412
71011565151
oct235721540
985802278
1041395040
1121403785
1211a43568
13876480b
1456d7928
15397a2e5
hex277a360

41395040 has 48 divisors (see below), whose sum is σ = 98240688. Its totient is φ = 16482816.

The previous prime is 41395037. The next prime is 41395063. The reversal of 41395040 is 4059314.

41395040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 46439 + ... + 47321.

It is an arithmetic number, because the mean of its divisors is an integer number (2046681).

Almost surely, 241395040 is an apocalyptic number.

41395040 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 41395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120344).

41395040 is an abundant number, since it is smaller than the sum of its proper divisors (56845648).

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

41395040 is a wasteful number, since it uses less digits than its factorization.

41395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 41395040 is about 6433.8977299923. The cubic root of 41395040 is about 345.9256525522.

The spelling of 41395040 in words is "forty-one million, three hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 883 1172 1465 1766 2344 2930 3532 4415 4688 5860 7064 8830 9376 11720 14128 17660 23440 28256 35320 46880 70640 141280 258719 517438 1034876 1293595 2069752 2587190 4139504 5174380 8279008 10348760 20697520 41395040