Search a number
-
+
41544216 = 23327312659
BaseRepresentation
bin1001111001111…
…0101000011000
32220011122221200
42132132220120
541113403331
64042234200
71013056110
oct236365030
986148850
1041544216
11214a586a
1211ab5960
1387b769c
145736040
1539a95e6
hex279ea18

41544216 has 96 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 11482560.

The previous prime is 41544199. The next prime is 41544253. The reversal of 41544216 is 61244514.

41544216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41544216.

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 23 ways as a sum of consecutive naturals, for example, 14295 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 241544216 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 41544216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393600).

41544216 is an abundant number, since it is smaller than the sum of its proper divisors (91242984).

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

41544216 is a wasteful number, since it uses less digits than its factorization.

41544216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 41544216 is about 6445.4802769072. The cubic root of 41544216 is about 346.3406937460.

The spelling of 41544216 in words is "forty-one million, five hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 2659 3906 5208 5318 7812 7977 10636 15624 15954 18613 21272 23931 31908 37226 47862 55839 63816 74452 82429 95724 111678 148904 164858 167517 191448 223356 247287 329716 335034 446712 494574 577003 659432 670068 741861 989148 1154006 1340136 1483722 1731009 1978296 2308012 2967444 3462018 4616024 5193027 5934888 6924036 10386054 13848072 20772108 41544216