Those Fascinating Numbers 331
479 045 521
the smallest number n such that φ(n) = 12! (see the number 779).
492 101 632 (= 213 · 11 · 43 · 127)
the fourth solution of
σ(n)
n
=
9
4
(see the number 40).
519 326 767
the only number 2 which is equal to the sum of the factorials of its digits
in base 13: here 519 326 767 = [8, 3, 7, 9, 0, 12, 5, 11]13 = 8! + 3! + 7! + 9! + 0! +
12! + 5! + 11! (see also the numbers 145 and 40 472).
528 491 311
the integer part of
ee3
, which represents the “normal” size of the third prime
factor of an integer (see the number 1 618).
534 494 836
the third number n 1 which is equal to the sum of the ninth powers of its
digits (see the number 146 511 208).
537 346 048
the
21rst
dihedral perfect number (see the number 130).
565 062 156
the smallest number n such that P (n) P (n + 1) . . . P (n + 11): here
1553 3541 8377 19993 23623 31321 189491 752413
3445501 12556937 14870057 33238951 (see the number 46 189).
592 192 224
the 12th powerful number n such that n +1 is also powerful: here 592 192 224 =
25 · 32 · 132 · 233 and 592 192 225 = 52 · 312 · 1572 (see the number 288).
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