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                                                                   EXHIBIT 23.4
 
                      CONSENT OF INDEPENDENT ACCOUNTANTS
 
We consent to the incorporation by reference in the registration statement of
Evergreen Media Corporation on Form S-3 of our report dated February 24, 1995,
on our audits of the consolidated financial statements of Broadcasting
Partners, Inc. and Subsidiaries as of June 30, 1993 and December 31, 1993 and
1994, and the related consolidated statements of operations, changes in
stockholders' equity (deficit) and cash flows for each of the two years in the
period ended June 30, 1993 and the six month period from July 1, 1993 to
December 31, 1993 and the year ended December 31, 1994 which report is
included in Form 8-K/A of Evergreen Media Corporation dated May 12, 1995. We
also consent to the reference to our firm under the caption "Experts."
 
                                          Coopers & Lybrand L.L.P.
 
New York, New York 
September 19, 1996
