24788742 has 32 divisors (see below), whose sum is σ = 55551744. Its totient is φ = 7308000.

The previous prime is 24788741. The next prime is 24788773.

24788742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24788742² = 1228963459885128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24788694 and 24788703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24788741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634 + ... + 7517.

It is an arithmetic number, because the mean of its divisors is an integer number (1735992).

Almost surely, 2^24788742 is an apocalyptic number.

24788742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24788742 is an abundant number, since it is smaller than the sum of its proper divisors (30763002).

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

24788742 is a wasteful number, since it uses less digits than its factorization.

24788742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204.

The product of its digits is 200704, while the sum is 42.

The square root of 24788742 is about 4978.8293804869. The cubic root of 24788742 is about 291.5758133713.

The spelling of 24788742 in words is "twenty-four million, seven hundred eighty-eight thousand, seven hundred forty-two".