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41493440 = 2651271021
BaseRepresentation
bin1001111001001…
…0001111000000
32220002002022002
42132102033000
541110242230
64041203132
71012455062
oct236221700
986062262
1041493440
11214706aa
1211a904a8
13879a541
145721732
153999545
hex27923c0

41493440 has 56 divisors (see below), whose sum is σ = 99681792. Its totient is φ = 16450560.

The previous prime is 41493401. The next prime is 41493451. The reversal of 41493440 is 4439414.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40130 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (1780032).

Almost surely, 241493440 is an apocalyptic number.

41493440 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 41493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49840896).

41493440 is an abundant number, since it is smaller than the sum of its proper divisors (58188352).

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

41493440 is a wasteful number, since it uses less digits than its factorization.

41493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 41493440 is about 6441.5401884953. The cubic root of 41493440 is about 346.1995351911.

The spelling of 41493440 in words is "forty-one million, four hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1021 1270 2032 2042 2540 4064 4084 5080 5105 8128 8168 10160 10210 16336 20320 20420 32672 40640 40840 65344 81680 129667 163360 259334 326720 518668 648335 1037336 1296670 2074672 2593340 4149344 5186680 8298688 10373360 20746720 41493440