42006552 has 64 divisors (see below), whose sum is σ = 122016000. Its totient is φ = 11802240.

The previous prime is 42006551. The next prime is 42006557. The reversal of 42006552 is 25560024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42006551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8199 + ... + 12297.

It is an arithmetic number, because the mean of its divisors is an integer number (1906500).

Almost surely, 2^42006552 is an apocalyptic number.

42006552 is a gapful number since it is divisible by the number (42) 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 42006552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008000).

42006552 is an abundant number, since it is smaller than the sum of its proper divisors (80009448).

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

42006552 is a wasteful number, since it uses less digits than its factorization.

42006552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42006552 is about 6481.2461764695. The cubic root of 42006552 is about 347.6207388874.

Adding to 42006552 its reverse (25560024), we get a palindrome (67566576).

It can be divided in two parts, 4 and 2006552, that multiplied together give a palindrome (8026208).

The spelling of 42006552 in words is "forty-two million, six thousand, five hundred fifty-two".