Any hospital association organized under the provisions of this article may be dissolved, in the manner prescribed in this section if, at the time of such dissolution, it owns no property and has no indebtedness outstanding and if it is not, at the time, designated as the agency of a county to acquire, construct, equip, operate and maintain public hospital facilities. Such dissolution shall be effected by the filing in the office of the Secretary of State of a certificate of dissolution, signed by all the then living directors of such hospital association.