Search a number
-
+
490584393 = 321331413299
BaseRepresentation
bin11101001111011…
…011100101001001
31021012010021021100
4131033123211021
52001042200033
6120402532013
715104620125
oct3517334511
91235107240
10490584393
11231a16352
12118367009
137a839530
1449224585
152d108513
hex1d3db949

490584393 has 48 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 284947200.

The previous prime is 490584383. The next prime is 490584397. The reversal of 490584393 is 393485094.

It is a happy number.

It is not a de Polignac number, because 490584393 - 28 = 490584137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (490584397) 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 47 ways as a sum of consecutive naturals, for example, 147058 + ... + 150356.

It is an arithmetic number, because the mean of its divisors is an integer number (16816800).

Almost surely, 2490584393 is an apocalyptic number.

It is an amenable number.

490584393 is a deficient number, since it is larger than the sum of its proper divisors (316622007).

490584393 is a wasteful number, since it uses less digits than its factorization.

490584393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 490584393 is about 22149.1397801359. The cubic root of 490584393 is about 788.6868067378.

It can be divided in two parts, 4905 and 84393, that added together give a palindrome (89298).

The spelling of 490584393 in words is "four hundred ninety million, five hundred eighty-four thousand, three hundred ninety-three".

Divisors: 1 3 9 13 31 39 41 93 117 123 279 369 403 533 1209 1271 1599 3299 3627 3813 4797 9897 11439 16523 29691 42887 49569 102269 128661 135259 148707 306807 385983 405777 920421 1217331 1329497 1758367 3988491 4193029 5275101 11965473 12579087 15825303 37737261 54509377 163528131 490584393