42516000 has 144 divisors (see below), whose sum is σ = 151017048. Its totient is φ = 11328000.

The previous prime is 42515999. The next prime is 42516037. The reversal of 42516000 is 61524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22695696 + 19820304 = 4764^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42516000² = 3615220512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

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, 35410 + ... + 36590.

Almost surely, 2^42516000 is an apocalyptic number.

42516000 is a gapful number since it is divisible by the number (40) 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 42516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75508524).

42516000 is an abundant number, since it is smaller than the sum of its proper divisors (108501048).

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

42516000 is a wasteful number, since it uses less digits than its factorization.

42516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42516000 is about 6520.4294337106. The cubic root of 42516000 is about 349.0203899932.

Adding to 42516000 its reverse (61524), we get a palindrome (42577524).

The spelling of 42516000 in words is "forty-two million, five hundred sixteen thousand".