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41278482 = 23272172753
BaseRepresentation
bin1001110101110…
…1110000010010
32212200011102200
42131131300102
541031402412
64032424030
71010601300
oct235356022
985604380
1041278482
1121334153
12119a8016
13872374b
1456a7270
1539559dc
hex275dc12

41278482 has 72 divisors (see below), whose sum is σ = 110198556. Its totient is φ = 11096064.

The previous prime is 41278481. The next prime is 41278487. The reversal of 41278482 is 28487214.

41278482 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 2 ways, for example, as 34821801 + 6456681 = 5901^2 + 2541^2 .

It is not an unprimeable number, because it can be changed into a prime (41278481) 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 35 ways as a sum of consecutive naturals, for example, 13618 + ... + 16370.

Almost surely, 241278482 is an apocalyptic number.

41278482 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41278482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55099278).

41278482 is an abundant number, since it is smaller than the sum of its proper divisors (68920074).

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

41278482 is a wasteful number, since it uses less digits than its factorization.

41278482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2782 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 41278482 is about 6424.8332274075. The cubic root of 41278482 is about 345.6006675174.

The spelling of 41278482 in words is "forty-one million, two hundred seventy-eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 2753 4998 5506 7497 8259 14994 16518 19271 24777 38542 46801 49554 57813 93602 115626 134897 140403 173439 269794 280806 327607 346878 404691 421209 655214 809382 842418 982821 1214073 1965642 2293249 2428146 2948463 4586498 5896926 6879747 13759494 20639241 41278482