[Python] Matplotlib Engformatter base 2

I am plotting some running time vs. data size. The x axis is logarithmic in base 2, but when I try to use EngFormatter, I get the values in base 10.

Is it possible to get the values in base 2? Like 32k instead of 33k and 64k instead of 66k.

Here I provide some sample code and figure:

sizes = np.array([2**i for i in range(1, 18)])
times = np.array([2**i*np.random.uniform(0.4, 1.6) for i in range(1, 18)]) # Example times in milliseconds

fig, ax = plt.subplots(figsize=(10, 6))
plt.plot(sizes, times, marker='o')
ax.set_xscale('log', base=2)
ax.set_xlabel('size')
ax.set_ylabel('time')
ax.xaxis.set_major_formatter(mticker.EngFormatter(places=0)) # TODO: base 2


Resulting figure:

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