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248 = 2331

• 248 can be written using four 4's:

See also 113.
248 has 8 divisors (see below), whose sum is σ = 480. Its totient is φ = 120.

The previous prime is 241. The next prime is 251. The reversal of 248 is 842.

248 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

248 is an undulating number in base 13.

It is a plaindrome in base 10, base 12, base 14 and base 15.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241) by changing a digit.

248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8 + ... + 23.

It is an arithmetic number, because the mean of its divisors is an integer number (60).

It is an amenable number.

248 is a deficient number, since it is larger than the sum of its proper divisors (232).

248 is a wasteful number, since it uses less digits than its factorization.

248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 33 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 248 is about 15.7480157480. The cubic root of 248 is about 6.2827613048.

Adding to 248 its sum of digits (14), we get a palindrome (262).

It can be divided in two parts, 24 and 8, that added together give a 5-th power (32 = 25).

The spelling of 248 in words is "two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 31 62 124 248