52182000 has 240 divisors, whose sum is σ = 197154048. Its totient is φ = 12787200.

The previous prime is 52181957. The next prime is 52182029. The reversal of 52182000 is 28125.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×52182000² = 5445922248000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233889 + ... + 234111.

Almost surely, 2^52182000 is an apocalyptic number.

52182000 is a gapful number since it is divisible by the number (50) 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 52182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

52182000 is an abundant number, since it is smaller than the sum of its proper divisors (144972048).

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

52182000 is a wasteful number, since it uses less digits than its factorization.

52182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 52182000 is about 7223.7109576727. The cubic root of 52182000 is about 373.6860682660.

The spelling of 52182000 in words is "fifty-two million, one hundred eighty-two thousand".