Search a number
-
+
241042432 = 210298117
BaseRepresentation
bin11100101111000…
…00010000000000
3121210120020001111
432113200100000
5443201324212
635530213104
75654553421
oct1627402000
9553506044
10241042432
11114075824
1268884194
133ac27477
1424027648
1516264ea7
hexe5e0400

241042432 has 44 divisors (see below), whose sum is σ = 498526380. Its totient is φ = 116350976.

The previous prime is 241042421. The next prime is 241042433. The reversal of 241042432 is 234240142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 62980096 = 13344^2 + 7936^2 .

It is not an unprimeable number, because it can be changed into a prime (241042433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25638 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (11330145).

Almost surely, 2241042432 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 241042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249263190).

241042432 is an abundant number, since it is smaller than the sum of its proper divisors (257483948).

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

241042432 is an equidigital number, since it uses as much as digits as its factorization.

241042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 241042432 is about 15525.5412788089. The cubic root of 241042432 is about 622.3449457100.

Adding to 241042432 its reverse (234240142), we get a palindrome (475282574).

The spelling of 241042432 in words is "two hundred forty-one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 8117 14848 16234 29696 32468 64936 129872 235393 259744 470786 519488 941572 1038976 1883144 2077952 3766288 4155904 7532576 8311808 15065152 30130304 60260608 120521216 241042432