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1248 = 25313
BaseRepresentation
bin10011100000
31201020
4103200
514443
65440
73432
oct2340
91636
101248
11a35
12880
13750
14652
15583
hex4e0

1248 has 24 divisors (see below), whose sum is σ = 3528. Its totient is φ = 384.

The previous prime is 1237. The next prime is 1249. The reversal of 1248 is 8421.

Adding to 1248 its reverse (8421), we get a palindrome (9669).

It can be divided in two parts, 12 and 48, that multiplied together give a square (576 = 242).

1248 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 10.

It is a nialpdrome in base 6, base 12, base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249) by changing a digit.

1248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (147).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764).

1248 is an abundant number, since it is smaller than the sum of its proper divisors (2280).

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

1248 is a wasteful number, since it uses less digits than its factorization.

1248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 18 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 1248 is about 35.3270434653. The cubic root of 1248 is about 10.7664252242.

The spelling of 1248 in words is "one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248