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4042537441 = 89181250949
BaseRepresentation
bin1111000011110100…
…0011100111100001
3101102201202011211221
43300331003213201
531234342144231
61505045335041
7202115000305
oct36075034741
911381664757
104042537441
1117949a8238
12949a07481
134c56961b7
142a4c67d05
15189d78d11
hexf0f439e1

4042537441 has 8 divisors (see below), whose sum is σ = 4110561000. Its totient is φ = 3975016320.

The previous prime is 4042537427. The next prime is 4042537459. The reversal of 4042537441 is 1447352404.

It can be written as a sum of positive squares in 4 ways, for example, as 265820416 + 3776717025 = 16304^2 + 61455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4042537441 - 215 = 4042504673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4042537397 and 4042537406.

It is not an unprimeable number, because it can be changed into a prime (4042537481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109366 + ... + 141583.

It is an arithmetic number, because the mean of its divisors is an integer number (513820125).

Almost surely, 24042537441 is an apocalyptic number.

It is an amenable number.

4042537441 is a deficient number, since it is larger than the sum of its proper divisors (68023559).

4042537441 is a wasteful number, since it uses less digits than its factorization.

4042537441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251219.

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 4042537441 is about 63580.9518723965. The cubic root of 4042537441 is about 1593.0082206900.

Adding to 4042537441 its reverse (1447352404), we get a palindrome (5489889845).

The spelling of 4042537441 in words is "four billion, forty-two million, five hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 89 181 16109 250949 22334461 45421769 4042537441