407 = 1 + 2 + 345 + 6 × 7 + 8 + 9
407 = 9 + 8 + 76 × 5 + 4 + 3 + 2 + 1
407 = 0^5 + 1^8 + 2^7 − 3^9 + 4^2 + 5^6 + 6^3 + 7^1 + 8^4 + 9^0
407 divides 100^3 - 1.
407 = 43 + 03 + 73
407 = 11 × 111/(1 + 1 + 1)
407 = (22 − 2)2 + 2 + 2 + 2 + 2/2
407 = 33 × 333/(33)
407 = 4 × 44 + 4 + 4 − (4 + 4/4)4
407 = 55 × (((5 + 5)/5)5 + 5)/5
407 = 6 × 66 + 66/6
407 = 7 × (7 × 7 + 7) + 7 + 7 + 7/7
407 = (8+8+8)×(8+8+8/8)−8/8
407 = 99 × (9 + 9 + 9 + 9 + 9/9)/9
\( \det\begin{pmatrix}
4 & 0 & 7\\
7 & 4 & 0\\
0 & 7 & 4
\end{pmatrix}
= 407 \)
Positive integers n that are equal to the determinant of the circulant matrix formed by the decimal digits of n
407 cannot be written as a sum of 3 squares. (Integers that are not a sum of three squares)
Factors: 1, 11, 37, 407
Four hundred seven
Representations, Binary to Hexadecimal:
110010111_2
120002_3
12113_4
3112_5
1515_6
1121_7
627_8
502_9
340_11
29b_12
254_13
211_14
1c2_15
197_16
<--- --->
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics

