Several congruences are listed below and labeled with powers of 2. Some of the congruences are true and some are false. Find the sum of the

$$\\ \small{\text{ Several congruences are listed below and labeled with powers of 2. }}\\ \small{\text{ Some of the congruences are true and some are false. }}\\ \small{\text{ Find the sum of the labels for the congruences that are true. }}\\$$

$$\small{\text{$ \begin{array}{rrcl|rcl|rcl|r} (1) & 118 &\equiv & 25 \pmod{13} & 118 \pmod{13} &\equiv& 1 & 25\pmod{13} &\equiv& 12 & \mathrm{false}\\ (2) & 2401 &\equiv & 147 \pmod{49} & 2401 \pmod{49} &\equiv& 0 & 147\pmod{49} &\equiv& 0 & \mathrm{true}\\ (4) & 183 &\equiv & 291 \pmod{6} & 183 \pmod{6} &\equiv& 3 & 291\pmod{6} &\equiv& 3 & \mathrm{true}\\ (8) & 2701 &\equiv & 14393 \pmod{8} & 2701 \pmod{8} &\equiv& 5 & 14393\pmod{8} &\equiv& 1 & \mathrm{false}\\ (16)& 493 &\equiv & 873 \pmod{10} & 493 \pmod{10} &\equiv& 3 & 873\pmod{10} &\equiv& 3 & \mathrm{true}\\ (32)& 4113 &\equiv & 396 \pmod{9} & 4113 \pmod{9} &\equiv& 0 & 396\pmod{9} &\equiv& 0 & \mathrm{true}\\ \end{array} $}}$$

sum of the labels for the conguences that are true: (2)+(4)+(16)+(32) = 54