4,100,625

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Number

$4 \, 100 \, 625$ (four million, one hundred thousand, six hundred and twenty-five) is:

$3^8 \times 5^4$

The $4$th and last positive integer after $1$, $625$, $6561$ whose $4$th root equals the number of its divisors:

$\map {\sigma_0} {4 \, 100 \, 625} = 45 = \sqrt [4] {4 \, 100 \, 625}$

The $45$th fourth power:

$4 \, 100 \, 625 = 45 \times 45 \times 45 \times 45$

The $2025$th square number:

$4 \, 100 \, 625 = 2025 \times 2025$

Arithmetic Functions on $4 \, 100 \, 625$

\(\ds \map {\sigma_0} { 4 \, 100 \, 625 }\)

\(=\)

\(\ds 45\)

$\sigma_0$ of $4 \, 100 \, 625$

Also see

• Previous: Numbers whose Fourth Root equals Number of Divisors
• Previous  ... Next: Fourth Power
• Previous  ... Next: Square Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $4,100,625$