• 748 can be written using four 4's:

See also 113.

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748 has 12 divisors (see below), whose sum is σ = 1512. Its totient is φ = 320.

The previous prime is 743. The next prime is 751. The reversal of 748 is 847.

748 = 4³ + 5³ + ... + 7³.

It is a happy number.

Its product of digits (224) is a multiple of the sum of its prime factors (32).

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (743) by changing a digit.

748 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, 36 + ... + 52.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

2⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

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

The sum of its prime factors is 32 (or 30 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 748 is about 27.3495886624. The cubic root of 748 is about 9.0775196832.

Adding to 748 its sum of digits (19), we get a palindrome (767).

Subtracting from 748 its sum of digits (19), we obtain a 6-th power (729 = 3⁶).

Subtracting 748 from its reverse (847), we obtain a palindrome (99).

It can be divided in two parts, 7 and 48, that added together give a palindrome (55).

The spelling of 748 in words is "seven hundred forty-eight", and thus it is an aban number.