45 (number)

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45 (forty-five) is the natural number following 44 and followed by 46.

Cardinal 45
forty-five
Ordinal 45th
forty-fifth
Factorization  3^2 \cdot 5
Divisors 1, 3, 5, 9, 15, 45
Roman numeral XLV
Binary 101101
Hexadecimal 2D

Contents

[edit] In mathematics

Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number.

45 is the sixth positive integer with a prime factorization of the form p2q, with p and q being prime.

33 is the aliquot sum of 45 and the aliquot sequence of 45 is (45,33,15,9,4,3,1,0).

Since the greatest prime factor of 452 + 1 = 2026 is 1013, which is clearly more than 45 twice, 45 is a Størmer number.

[edit] In science

[edit] Astronomy

[edit] In music

[edit] In other fields

Forty-five may also refer to:

[edit] Historical years

45 A.D., 45 B.C., 1945, 2045, etc.