42813280 has 48 divisors (see below), whose sum is σ = 104645520. Its totient is φ = 16532992.

The previous prime is 42813271. The next prime is 42813301. The reversal of 42813280 is 8231824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 9253.

It is an arithmetic number, because the mean of its divisors is an integer number (2180115).

Almost surely, 2^42813280 is an apocalyptic number.

42813280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52322760).

42813280 is an abundant number, since it is smaller than the sum of its proper divisors (61832240).

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

42813280 is a wasteful number, since it uses less digits than its factorization.

42813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 42813280 is about 6543.1857684159. The cubic root of 42813280 is about 349.8319737695.

The spelling of 42813280 in words is "forty-two million, eight hundred thirteen thousand, two hundred eighty".