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The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...
48 Hrs., a 1982 film starring Nick Nolte and Eddie Murphy, followed by Another 48 Hrs. Arizona is the 48th state in the United States. The 48 United States (excluding Alaska and Hawaii) are also referred to as the "Lower 48" or the "48 contiguous states". '48 is an alternate history novel by James Herbert. The 48 Laws of Power is a book by ...
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
1 and −1 divide (are divisors of) every integer. Every integer (and its negation) is a divisor of itself. Integers divisible by 2 are called even, and integers not divisible by 2 are called odd. 1, −1, and are known as the trivial divisors of .
Formally, a regular number is an integer of the form , for nonnegative integers , , and .Such a number is a divisor of (⌈ / ⌉,,).The regular numbers are also called 5-smooth, indicating that their greatest prime factor is at most 5. [2]
It also is a perfect indexed Harshad number in decimal (twenty-eighth), as it is divisible by the sum of its digits . [ 10 ] 72 is the second multiple of 12, after 48, that is not a sum of twin primes .
48 × 210 56 × 180: 60 × 168 63 × 160 70 × 144 72 × 140 80 × 126 84 × 120: 90 × 112 96 × 105 Note: Numbers in bold are themselves highly composite numbers. Only the twentieth highly composite number 7560 (= 3 × 2520) is absent. 10080 is a so-called 7-smooth number (sequence A002473 in the OEIS).
In number theory, a weird number is a natural number that is abundant but not semiperfect. [1] [2] In other words, the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to the number itself.