27482 is a member of OEIS A297405: binary "cubes"; numbers whose binary representation consists of three consecutive identical blocks, here 11010 --> 110101101011010.
The sequence can be generated as follows:
INPUT
L=[]
for n in [1..46]:
b=n.str(base=2)*3
L.append(int(b,base=2))
print(L)
print(27482.str(base=2))
OUTPUT
[7, 42, 63, 292, 365, 438, 511, 2184, 2457, 2730, 3003, 3276, 3549, 3822, 4095, 16912, 17969, 19026, 20083, 21140, 22197, 23254, 24311, 25368, 26425, 27482, 28539, 29596, 30653, 31710, 32767, 133152, 137313, 141474, 145635, 149796, 153957, 158118, 162279, 166440, 170601, 174762, 178923, 183084, 187245, 191406]
110101101011010
27482 can be rendered as a digit equation as follows:
2 * 7 - 4 = 8 + 2