Such application must not be heard until 10 days after the filing thereof, and notice thereof may be given to some person adversely interested whenever the court may deem just. When, or at such time as the court may continue the hearing, the court, satisfied that the claim is bad or doubtful, and that a sale or compromise thereof will promote the interests of the estate, must make and enter a decree directing the sale or compromise of the claim, as may be best for the interests of the estate. If a sale is decreed, it must be made by the executor or administrator at the courthouse of the county, or such other place as the court may direct, at public outcry to the highest bidder for cash, after having first given notice of the time and place thereof by publication, once a week for three successive weeks, in some newspaper published in the county, or if none is published therein, by posting notices for three weeks at the courthouse door, and three other public places in the county, or the notice may be given in any manner and for any time which may be directed by the court.