Search a number
-
+
2585742 = 23430957
BaseRepresentation
bin1001110111010010001110
311212100222020
421313102032
51130220432
6131231010
730656415
oct11672216
94770866
102585742
111506785
12a48466
136c6c33
144b447c
1536122c
hex27748e

2585742 has 8 divisors (see below), whose sum is σ = 5171496. Its totient is φ = 861912.

The previous prime is 2585707. The next prime is 2585743. The reversal of 2585742 is 2475852.

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

2585742 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585743) 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, 215473 + ... + 215484.

It is an arithmetic number, because the mean of its divisors is an integer number (646437).

22585742 is an apocalyptic number.

2585742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2585742 is a wasteful number, since it uses less digits than its factorization.

2585742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430962.

The product of its digits is 22400, while the sum is 33.

The square root of 2585742 is about 1608.0242535484. The cubic root of 2585742 is about 137.2550703002.

The spelling of 2585742 in words is "two million, five hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 430957 861914 1292871 2585742