42802000 has 40 divisors (see below), whose sum is σ = 103500072. Its totient is φ = 17120000.

The previous prime is 42801977. The next prime is 42802043. The reversal of 42802000 is 20824.

It can be written as a sum of positive squares in 4 ways, for example, as 5494336 + 37307664 = 2344^2 + 6108^2 .

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

It is a super-2 number, since 2×42802000² = 3664022408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 8701 + ... + 12700.

Almost surely, 2^42802000 is an apocalyptic number.

42802000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42802000 is an abundant number, since it is smaller than the sum of its proper divisors (60698072).

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

42802000 is a wasteful number, since it uses less digits than its factorization.

42802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42802000 is about 6542.3237461929. The cubic root of 42802000 is about 349.8012477014.

Adding to 42802000 its reverse (20824), we get a palindrome (42822824).

The spelling of 42802000 in words is "forty-two million, eight hundred two thousand".