42152000 has 112 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 15296000.

The previous prime is 42151999. The next prime is 42152017. The reversal of 42152000 is 25124.

It is a super-2 number, since 2×42152000² = 3553582208000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87761 + ... + 88239.

Almost surely, 2^42152000 is an apocalyptic number.

42152000 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 42152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

42152000 is an abundant number, since it is smaller than the sum of its proper divisors (71965120).

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

42152000 is a wasteful number, since it uses less digits than its factorization.

42152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42152000 is about 6492.4571619688. The cubic root of 42152000 is about 348.0214898430.

Adding to 42152000 its reverse (25124), we get a palindrome (42177124).

The spelling of 42152000 in words is "forty-two million, one hundred fifty-two thousand".