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41493420 = 22325613779
BaseRepresentation
bin1001111001001…
…0001110101100
32220002002021100
42132102032230
541110242140
64041203100
71012455033
oct236221654
986062240
1041493420
1121470691
1211a90490
13879a527
14572171a
153999530
hex27923ac

41493420 has 72 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 10880640.

The previous prime is 41493401. The next prime is 41493451. The reversal of 41493420 is 2439414.

41493420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 9091 + ... + 12869.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 241493420 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 41493420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

41493420 is an abundant number, since it is smaller than the sum of its proper divisors (86467140).

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

41493420 is a wasteful number, since it uses less digits than its factorization.

41493420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41493420 is about 6441.5386360714. The cubic root of 41493420 is about 346.1994795679.

It can be divided in two parts, 4149 and 3420, that added together give a square (7569 = 872).

The spelling of 41493420 in words is "forty-one million, four hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 3779 5490 7558 10980 11337 15116 18895 22674 34011 37790 45348 56685 68022 75580 113370 136044 170055 226740 230519 340110 461038 680220 691557 922076 1152595 1383114 2074671 2305190 2766228 3457785 4149342 4610380 6915570 8298684 10373355 13831140 20746710 41493420