42849936 has 120 divisors (see below), whose sum is σ = 128444160. Its totient is φ = 13305600.

The previous prime is 42849923. The next prime is 42849941. The reversal of 42849936 is 63994824.

It is a super-2 number, since 2×42849936² = 3672234030408192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42849891 and 42849900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129291 + ... + 129621.

It is an arithmetic number, because the mean of its divisors is an integer number (1070368).

Almost surely, 2^42849936 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 42849936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222080).

42849936 is an abundant number, since it is smaller than the sum of its proper divisors (85594224).

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

42849936 is a wasteful number, since it uses less digits than its factorization.

42849936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42849936 is about 6545.9862511313. The cubic root of 42849936 is about 349.9317853454.

The spelling of 42849936 in words is "forty-two million, eight hundred forty-nine thousand, nine hundred thirty-six".