42552800 has 72 divisors (see below), whose sum is σ = 106383816. Its totient is φ = 16611840.

The previous prime is 42552791. The next prime is 42552817. The reversal of 42552800 is 825524.

It is a self number, because there is not a number n which added to its sum of digits gives 42552800.

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 11 ways as a sum of consecutive naturals, for example, 33782 + ... + 35018.

It is an arithmetic number, because the mean of its divisors is an integer number (1477553).

Almost surely, 2^42552800 is an apocalyptic number.

42552800 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 42552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53191908).

42552800 is an abundant number, since it is smaller than the sum of its proper divisors (63831016).

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

42552800 is a wasteful number, since it uses less digits than its factorization.

42552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 42552800 is about 6523.2507233740. The cubic root of 42552800 is about 349.1210599090.

The spelling of 42552800 in words is "forty-two million, five hundred fifty-two thousand, eight hundred".