Search a number
-
+
5005841 = 37193701
BaseRepresentation
bin10011000110001000010001
3100102022201112
4103012020101
52240141331
6255143105
760356201
oct23061021
910368645
105005841
112909a65
121814a95
131063649
14944401
1568d32b
hex4c6211

5005841 has 8 divisors (see below), whose sum is σ = 5175144. Its totient is φ = 4838400.

The previous prime is 5005823. The next prime is 5005859. The reversal of 5005841 is 1485005.

5005841 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5005823) and next prime (5005859).

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 2989441 = 1420^2 + 1729^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5005841 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6791 + ... + 7491.

It is an arithmetic number, because the mean of its divisors is an integer number (646893).

Almost surely, 25005841 is an apocalyptic number.

It is an amenable number.

5005841 is a deficient number, since it is larger than the sum of its proper divisors (169303).

5005841 is a wasteful number, since it uses less digits than its factorization.

5005841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 5005841 is about 2237.3736835853. The cubic root of 5005841 is about 171.0641552191.

The spelling of 5005841 in words is "five million, five thousand, eight hundred forty-one".

Divisors: 1 37 193 701 7141 25937 135293 5005841