42754000 has 40 divisors (see below), whose sum is σ = 103384008. Its totient is φ = 17100800.

The previous prime is 42753979. The next prime is 42754003. The reversal of 42754000 is 45724.

42754000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 33825856 = 2988^2 + 5816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42754003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8689 + ... + 12688.

Almost surely, 2^42754000 is an apocalyptic number.

42754000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42754000 is an abundant number, since it is smaller than the sum of its proper divisors (60630008).

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

42754000 is a wasteful number, since it uses less digits than its factorization.

42754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42754000 is about 6538.6542958012. The cubic root of 42754000 is about 349.6704380794.

Adding to 42754000 its reverse (45724), we get a palindrome (42799724).

The spelling of 42754000 in words is "forty-two million, seven hundred fifty-four thousand".