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In mathematics. 24 is an even composite number, with 2 and 3 as its distinct prime factors. It is the first number of the form 2 qq, where q is an odd prime. It is the smallest number with exactly eight positive divisors: 1, 2, 3, 4, 6, 8, 12 and 24; [1] thus, it is a highly composite number, having more divisors than any smaller number. [2]
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 ...
Twelve is a superior highly composite number, divisible by the numbers 2, 3, 4, and 6 . It is the number of years required for an orbital period of Jupiter. It is central to many systems of timekeeping, including the Western calendar and units of time of day, and frequently appears in the world's major religions.
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channel number in the UHF bandplan for American terrestrial television from December 31, 2011, when channels 52–69 were withdrawn, to July 3, 2020, when channels 38–51 were removed from the bandplan.
72 has a Euler totient of 24, which makes it a highly totient number, as there are 17 solutions to the equation φ(x) = 72, more than any integer under 72. It is equal to the sum of its preceding smaller highly totient numbers 24 and 48 , and contains the first six highly totient numbers 1 , 2 , 4 , 8 , 12 and 24 as a subset of its proper ...
Forty-eight is the double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number. 48 is the second 17-gonal number. 48 is the smallest number with exactly ten divisors, and the first multiple of 12 not to be a sum of twin primes.
It is the third (or second) dodecahedral number, and the sum of the first seven triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number. [5] The twenty-second unique prime in decimal , with notably different digits than its preceding (and known following) terms in the same sequence , contains a total of 84 ...
64 is: the smallest number with exactly seven divisors, [3] the first whole number (greater than one) that is both a perfect square, and a perfect cube, [4] the lowest positive power of two that is not adjacent to either a Mersenne prime or a Fermat prime,
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.