Search a number
-
+
490288884 = 223232118419
BaseRepresentation
bin11101001110010…
…011011011110100
31021011120020220120
4131032103123310
52001003221014
6120352331540
715102246441
oct3516233364
91234506816
10490288884
11231834328
12118243bb0
137a764b87
14491889c8
152d09aba9
hex1d3936f4

490288884 has 48 divisors (see below), whose sum is σ = 1199546880. Its totient is φ = 155564640.

The previous prime is 490288871. The next prime is 490288889. The reversal of 490288884 is 488882094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490288889) 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 15 ways as a sum of consecutive naturals, for example, 54027 + ... + 62445.

It is an arithmetic number, because the mean of its divisors is an integer number (24990560).

Almost surely, 2490288884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490288884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599773440).

490288884 is an abundant number, since it is smaller than the sum of its proper divisors (709257996).

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

490288884 is a wasteful number, since it uses less digits than its factorization.

490288884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 490288884 is about 22142.4678841361. The cubic root of 490288884 is about 788.5284168224.

The spelling of 490288884 in words is "four hundred ninety million, two hundred eighty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 633 844 1266 2532 4853 8419 9706 14559 16838 19412 25257 29118 33676 50514 58236 101028 193637 387274 580911 774548 1161822 1776409 2323644 3552818 5329227 7105636 10658454 21316908 40857407 81714814 122572221 163429628 245144442 490288884