• 192 can be written using four 4's:

192 has 14 divisors (see below), whose sum is σ = 508. Its totient is φ = 64.

The previous prime is 191. The next prime is 193. The reversal of 192 is 291.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{3}.

192 is nontrivially palindromic in base 7 and base 15.

192 is an esthetic number in base 3 and base 5, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (191) and next prime (193).

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=4.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a compositorial, being equal to the product of composites up to 8.

192 is an undulating number in base 7.

192 is a nontrivial repdigit in base 15.

It is a plaindrome in base 9, base 13 and base 15.

It is a nialpdrome in base 2, base 4, base 6, base 8, base 14, base 15 and base 16.

It is a zygodrome in base 2 and base 15.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 192 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63 + 64 + 65.

2^{192} is an apocalyptic number.

192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254).

192 is an abundant number, since it is smaller than the sum of its proper divisors (316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

192 is an equidigital number, since it uses as much as digits as its factorization.

192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15 (or 5 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 192 is about 13.8564064606. The cubic root of 192 is about 5.7689982812.

Multiplying 192 by its sum of digits (12), we get a square (2304 = 48^{2}).

192 divided by its sum of digits (12) gives a 4-th power (16 = 2^{4}).

Adding to 192 its product of digits (18), we get a triangular number (210 = T_{20}).

Subtracting 192 from its reverse (291), we obtain a palindrome (99).

It can be divided in two parts, 19 and 2, that added together give a triangular number (21 = T_{6}).

The spelling of 192 in words is "one hundred ninety-two", and thus it is an aban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.061 sec. • engine limits •