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Musical Numbers

On , assume there are 27 masts, 4 million barrels of bones and 5 million hogs.
On , the first clue in the final set of clues has been updated.

This is a cross-number (or cross-figure) puzzle - it structurally resembles a crossword, but with entries consisting of numbers rather than words. Leading zeroes are not allowed.

Click here for a spreadsheet version of the puzzle, and here to download a .zip file containing all audio files. These links are merely provided for convenience and are otherwise not part of the puzzle.

123456789
101112
13141516
171819
20212223
242526272829
30313233
34353637
3839
404142434445
464748


Across

1. Anagram of ( \(-\) 20A)
5. An integer
8. Less than 2 \(\times\) 2D
10. Its digit sum is the sum of the two rightmost digits of
11. 8A \(\times\) number of herbs \(+ \sqrt{\text{15A + 26A}}\) \(\times\) 9 \(\div\) 40A
12. Its last digit is equal to the last digit of 23D's digit sum
13. Its digits are all odd, and the third digit is also present in
15. It and 39D do not have any digits in common
17. A palindromic number
19. A repdigit
20. (38A \(-\) 39A \(+\) number of dollars paid) \(\div\) millions of barrels of bones
21. 30A reversed
24. Greater than 41A
26. An integer
27. Its digits (in order) form an arithmetic sequence
30. See 21A
33. Its last digit is the last digit of the product of 31D and 38A
34. A multiple of 22D
36. Anagram of 32D
38. An integer
39. An integer
40. 20A \(-\) 12A \(+\) largest digit of
41. (A multiple of 46A) \(-\) 20A \(+\) 12A
43. \(+\) 10 \(+\) 16D \(+ \lfloor \text{38A} \div \sqrt{\text{number of years we've been there}} \rfloor\)
46. Its last digit is the smallest prime factor of 35D
47. An integer
48. (1D \(+\) 2D) \(\times\) 33A

Down

1. See 48A and 25D
2. See 8A, 48A and 45D
3. 43A \(-\) 10 \(+\) 26A \(\div\) (leading digit of 43A \(+\) millions of hogs)
4. A Fibonacci number
5. It is divisible by the number of hens
6. Its reversal is 5A \(\div\) (40A reversed)
7. An integer
8. Greater than 48A
9. An integer
14. It is divisible by the difference between the two digits of 42D
16. 8A squared
17. 29D \(\times\) pounds of treacle
18. A multiple of
22. Greater than 5A
23. After swapping two consecutive digits, it becomes a palindromic number
25. (Digit sum of ) \(+\) the 1D-th hexagonal number
28. An integer
29. 20A \(\div\) number of masts \(+\) \(\times\) 8A
31. 36A \(-\) 17A \(-\) digit sum of 48A \(+\) number of lords
32. Its digits form a strictly decreasing sequence
34. It has the same number of distinct digits as 5D
35. An integer
37. Number of distinct digits in its column \(\times\) 26A
39. The difference between successive digits is greater than 3
42. An odd square number
44. \(-\) 12A
45. (Prime factor of ) \(-\) 2D \(\times\) number of rings

Songs

(7 5)
(7 6)
(6 6)
(6 1 6 4 2)
(2 10)
(3 4 3 6)
(11 4)
(3 5 5)
(3 6 4 2 9)
(6 2 3 5)

6-letter time-related word following "the" in one of the instances of 47A
Word following a craft in 28D
Verb that follows a time in the first stanza of 7D
3-letter word obtained by removing the first and last letters from the last word in a 26A instance's title
Something found in a container in some instances of 38A

The 5-letter noun used for something that doesn't exist in some instances of 9D
Word that follows the titular drink of some 5A instances
Number in 39A
First word of 35D