42992208 has 150 divisors (see below), whose sum is σ = 144961146. Its totient is φ = 12265344.

The previous prime is 42992207. The next prime is 42992219. The reversal of 42992208 is 80229924.

42992208 is a `hidden beast` number, since 429 + 9 + 220 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42928704 + 63504 = 6552^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42992207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63166 + ... + 63842.

Almost surely, 2^42992208 is an apocalyptic number.

42992208 is a gapful number since it is divisible by the number (48) 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 42992208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72480573).

42992208 is an abundant number, since it is smaller than the sum of its proper divisors (101968938).

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

42992208 is a wasteful number, since it uses less digits than its factorization.

42992208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42992208 is about 6556.8443629539. The cubic root of 42992208 is about 350.3186431497.

The spelling of 42992208 in words is "forty-two million, nine hundred ninety-two thousand, two hundred eight".