Those Fascinating Numbers 313
45 841 247
the 12th solution of σ2(n) = σ2(n + 2) (see the number 1 079).
45 848 700 (= 22 · 32 · 52 · 16981)
the number n which allows the sum
m≤n
ω(m)=4
1
m
to exceed 2 (see the number
752 694).
46 248 900
the sixth number n such that σ3(n) is a perfect square: here σ3(46248900) =
3434567293922 (see the number 345).
46 908 264
the smallest integer n such that ω(n), ω(n + 1), . . . , ω(n + 6) are all distinct,
namely in this case with the values 6, 3, 2, 5, 4, 1 and 7 (see the number 417).
47 326 700
the smallest multiple of 100 which is followed by at least 200 consecutive com-
posite numbers.
47 639 670 (= 2 · 3 · 5 · 13 · 23 · 47 · 113)
the
11th
ideal number (see the number 390).
47 775 744
the sixth number which is equal to the product of the factorials of its digits in
base 5: 47 775 744 = [4, 4, 2, 1, 2, 3, 1, 0, 4, 3, 4]5 = 4!·4!·2!·1!·2!·3!·1!·0!·4!·3!·4!
(see the number 144).
48 024 900
the sixth number which is both a triangular number and a perfect square:
48 024 900 =
9800(9800+1)
2
=
69302
(see the number 36).
49 436 927
the
13th
solution of σ2(n) = σ2(n + 2) (see the number 1 079).
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