50,625
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Number
$50 \, 625$ (fifth thousand, six hundred and twenty-five) is:
- $3^4 \times 5^4$
- The $1$st fourth power which can be expressed as the sum of $5$ fourth powers:
- $50 \, 625 = 4^4 + 6^4 + 8^4 + 9^4 + 14^4$
- The $4$th power of $15$ after $(1)$, $15$, $225$, $3375$:
- $50 \, 625 = 15^4$
- The $15$th fourth power after $1$, $16$, $81$, $256$, $625$, $1296$, $2401$, $4096$, $6561$, $10 \, 000$, $14 \, 641$, $20 \, 736$, $28 \, 561$, $38 \, 416$:
- $50 \, 625 = 15 \times 15 \times 15 \times 15$
- The $225$th square number:
- $50 \, 625 = 225 \times 225$
Also see
- Previous ... Next: Sequence of Powers of 15
- Previous ... Next: Fourth Power
- Previous ... Next: Square Number
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $50,625$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $50,625$