42329248 has 48 divisors (see below), whose sum is σ = 90757800. Its totient is φ = 19316736.

The previous prime is 42329237. The next prime is 42329249. The reversal of 42329248 is 84292324.

42329248 = 612² + 613² + ... + 708².

It can be written as a sum of positive squares in 4 ways, for example, as 36626704 + 5702544 = 6052^2 + 2388^2 .

It is not an unprimeable number, because it can be changed into a prime (42329249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39828 + ... + 40876.

Almost surely, 2^42329248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42329248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45378900).

42329248 is an abundant number, since it is smaller than the sum of its proper divisors (48428552).

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

42329248 is a wasteful number, since it uses less digits than its factorization.

42329248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 42329248 is about 6506.0931441227. The cubic root of 42329248 is about 348.5086146268.

It can be divided in two parts, 4232 and 9248, that multiplied together give a square (39137536 = 6256²).

The spelling of 42329248 in words is "forty-two million, three hundred twenty-nine thousand, two hundred forty-eight".