Search a number
-
+
41544450 = 232521943113
BaseRepresentation
bin1001111001111…
…0101100000010
32220011200021100
42132132230002
541113410300
64042235230
71013056563
oct236365402
986150240
1041544450
11214a5a62
1211ab5b16
1387b781c
14573616a
1539a9700
hex279eb02

41544450 has 144 divisors (see below), whose sum is σ = 121286880. Its totient is φ = 10160640.

The previous prime is 41544449. The next prime is 41544457. The reversal of 41544450 is 5444514.

41544450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41544457) 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 71 ways as a sum of consecutive naturals, for example, 367594 + ... + 367706.

It is an arithmetic number, because the mean of its divisors is an integer number (842270).

Almost surely, 241544450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41544450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60643440).

41544450 is an abundant number, since it is smaller than the sum of its proper divisors (79742430).

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

41544450 is a wasteful number, since it uses less digits than its factorization.

41544450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 41544450 is about 6445.4984291364. The cubic root of 41544450 is about 346.3413440055.

Adding to 41544450 its reverse (5444514), we get a palindrome (46988964).

The spelling of 41544450 in words is "forty-one million, five hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 43 45 50 57 75 86 90 95 113 114 129 150 171 190 215 225 226 258 285 339 342 387 430 450 475 565 570 645 678 774 817 855 950 1017 1075 1130 1290 1425 1634 1695 1710 1935 2034 2147 2150 2451 2825 2850 3225 3390 3870 4085 4275 4294 4859 4902 5085 5650 6441 6450 7353 8170 8475 8550 9675 9718 10170 10735 12255 12882 14577 14706 16950 19323 19350 20425 21470 24295 24510 25425 29154 32205 36765 38646 40850 43731 48590 50850 53675 61275 64410 72885 73530 87462 92321 96615 107350 121475 122550 145770 161025 183825 184642 193230 218655 242950 276963 322050 364425 367650 437310 461605 483075 553926 728850 830889 923210 966150 1093275 1384815 1661778 2186550 2308025 2769630 4154445 4616050 6924075 8308890 13848150 20772225 41544450