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24 is a congruent number, as 24 is the area of a right triangle with a rational number of sides. 24 is a semi-meandric number, where an order-6 semi-meander intersects an oriented ray in R2 at 24 points. 24 is the number of digits of the fifth and largest known unitary perfect number, when written in decimal: 146361946186458562560000.
34 is the ninth distinct semiprime, [1] with four divisors including 1 and itself. Specifically, 34 is the ninth distinct semiprime, it being the sixth of the form . Its neighbors 33 and 35 are also distinct semiprimes with four divisors each, where 34 is the smallest number to be surrounded by numbers with the same number of divisors it has.
Twenty is a pronic number, as it is the product of consecutive integers, namely 4 and 5. [3] It is the third composite number to be the product of a squared prime and a prime (and also the second member of the 22 × q family in this form). It has an aliquot sum of 22; a semiprime, within an aliquot sequence of four composite numbers (20, 22, 14 ...
Inside Lie algebras : 72 is the number of vertices of the six-dimensional 122 polytope, which also contains as facets 720 edges, 702 polychoral 4-faces, of which 270 are four-dimensional 16-cells, and two sets of 27 demipenteract 5 -faces. These 72 vertices are the root vectors of the simple Lie group.
51 is: The atomic number of antimony. The code for international direct dial phone calls to Peru. The last possible television channel number in the UHF bandplan for American terrestrial television from December 31, 2011, when channels 52–69 were withdrawn, to July 3, 2020, when channels 38–51 were removed from the bandplan.
Forty-nine is the square of the prime number seven and hence the fourth non-unitary square prime of the form p2. 49 has an aliquot sum of 8; itself a prime power, and hence an aliquot sequence of two composite members (49, 8, 7, 1 ,0). It appears in the Padovan sequence, preceded by the terms 21, 28, 37 (it is the sum of the first two of these ...
65 is the nineteenth distinct semiprime, [1] (5.13); and the third of the form (5.q), where q is a higher prime. 65 has a prime aliquot sum of 19 within an aliquot sequence of one composite numbers (65, 19, 1 ,0) to the prime; as the first member' of the 19 -aliquot tree. It is an octagonal number. [2] It is also a Cullen number. [3]
40 is the smallest number with exactly nine solutions to the equation Euler's totient function (for values 41, 55, 75, 82, 88, 100, 110, 132, and 150 of ). Adding up some subsets of the divisors of 40 (e.g., 1, 4, 5, 10, and 20) gives 40; hence, 40 is the ninth semiperfect number. [6] 40 is also the ninth refactorable number.