Search a number
-
+
505042146 = 23274008271
BaseRepresentation
bin11110000110100…
…101010011100010
31022012022210120200
4132012211103202
52013242322041
6122040450030
715341534040
oct3606452342
91265283520
10505042146
1123a0a0704
12121179916
138082c10b
144b109390
152e5121b6
hex1e1a54e2

505042146 has 24 divisors (see below), whose sum is σ = 1250580864. Its totient is φ = 144297720.

The previous prime is 505042129. The next prime is 505042147. The reversal of 505042146 is 641240505.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505042147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2004010 + ... + 2004261.

It is an arithmetic number, because the mean of its divisors is an integer number (52107536).

Almost surely, 2505042146 is an apocalyptic number.

505042146 is an abundant number, since it is smaller than the sum of its proper divisors (745538718).

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

505042146 is a wasteful number, since it uses less digits than its factorization.

505042146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008286 (or 4008283 counting only the distinct ones).

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

The square root of 505042146 is about 22473.1427708721. The cubic root of 505042146 is about 796.3595769865.

It can be divided in two parts, 50504 and 2146, that added together give a triangular number (52650 = T324).

The spelling of 505042146 in words is "five hundred five million, forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 4008271 8016542 12024813 24049626 28057897 36074439 56115794 72148878 84173691 168347382 252521073 505042146