issue with checking whether a page has children

Ahoy!

I’m trying to display portions of my sidebar differently depending on whether a page has children. If it does, it displays the children in a list that expands when you click the page name, but isn’t a link. Else, it is a link. Currently, it’s not working. Here’s the code:

<?php
$pages = get_pages(array('parent' => 0));
foreach( (array) $pages as $page) {
$children = get_pages(array('child_of='.$page->ID));
if( count( $children ) != 0 ) {
	echo '<h2 class="menuheader">' . get_the_title($page->ID) . '</h2>';
	echo '<div class="menucontent"><ul>';
	wp_list_pages('child_of=' . $page->ID . '&title_li=');
	echo '</ul></div>';
}
else {
	echo '<a href="' . get_page_link($page->ID) . '"><h2 class="menuheader">' . get_the_title($page->ID) . '</h2></a>';
}
}
?>

Currently, the sidebar treats everything as a clickable menu, even pages without children. Not sure why. I searched the forums, codex, and google, to no avail. Any help or insight would be greatly appreciated, thank you.