4187952 has 60 divisors (see below), whose sum is σ = 11864320. Its totient is φ = 1378944.

The previous prime is 4187951. The next prime is 4187957. The reversal of 4187952 is 2597814.

4187952 is nontrivially palindromic in base 5.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4187951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18174 + ... + 18402.

Almost surely, 2^4187952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932160).

4187952 is an abundant number, since it is smaller than the sum of its proper divisors (7676368).

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

4187952 is a wasteful number, since it uses less digits than its factorization.

4187952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4187952 is about 2046.4486311657. The cubic root of 4187952 is about 161.1884423406.

The spelling of 4187952 in words is "four million, one hundred eighty-seven thousand, nine hundred fifty-two".