42742700 has 216 divisors, whose sum is σ = 128835504. Its totient is φ = 12096000.

The previous prime is 42742699. The next prime is 42742703. The reversal of 42742700 is 724724.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42742700.

It is not an unprimeable number, because it can be changed into a prime (42742703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700670 + ... + 700730.

Almost surely, 2^42742700 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 42742700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417752).

42742700 is an abundant number, since it is smaller than the sum of its proper divisors (86092804).

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

42742700 is a wasteful number, since it uses less digits than its factorization.

42742700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 42742700 is about 6537.7901465250. The cubic root of 42742700 is about 349.6396290782.

It can be divided in two parts, 427 and 42700, that multiplied together give a square (18232900 = 4270²).

The spelling of 42742700 in words is "forty-two million, seven hundred forty-two thousand, seven hundred".