$product_type = $product->getData('type_id');
if ($product_type=='simple') {
$parentIdArray = $product->loadParentProductIds()->getData('parent_product_ids');
print_r($parentIdArray);
}
Check the comments from Gabriel Somoza for getting the Parent Product Ids for Magento versions greater than or equal to 1.4.2
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Php Bugs 
As of Magento CE 1.4.2.0 the loadParentProductIds() function is deprecated. I wrote an article on the new way of doing it here: http://gabrielsomoza.com/magento/getting-a-products-parent-id-in-magento/
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