Search a number
-
+
3042585 = 325713743
BaseRepresentation
bin1011100110110100011001
312201120122100
423212310121
51234330320
6145114013
734601340
oct13466431
95646570
103042585
111798a37
121028909
13826b60
14592b57
15401790
hex2e6d19

3042585 has 48 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 1282176.

The previous prime is 3042581. The next prime is 3042607. The reversal of 3042585 is 5852403.

3042585 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 3042585 - 22 = 3042581 is a prime.

It is a Curzon number.

3042585 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3724 + ... + 4466.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 23042585 is an apocalyptic number.

3042585 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3042585 is an abundant number, since it is smaller than the sum of its proper divisors (3456999).

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

3042585 is a wasteful number, since it uses less digits than its factorization.

3042585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3042585 is about 1744.3007194862. The cubic root of 3042585 is about 144.9041776733.

Adding to 3042585 its reverse (5852403), we get a palindrome (8894988).

The spelling of 3042585 in words is "three million, forty-two thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 743 819 1365 2229 3715 4095 5201 6687 9659 11145 15603 26005 28977 33435 46809 48295 67613 78015 86931 144885 202839 234045 338065 434655 608517 1014195 3042585