52548000 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 13440000.

The previous prime is 52547981. The next prime is 52548011. The reversal of 52548000 is 84525.

It is a Cunningham number, because it is equal to 7249²-1.

It is a super-2 number, since 2×52548000² = 5522584608000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347925 + ... + 348075.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^52548000 is an apocalyptic number.

52548000 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 52548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

52548000 is an abundant number, since it is smaller than the sum of its proper divisors (126714720).

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

52548000 is a wasteful number, since it uses less digits than its factorization.

52548000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 52548000 is about 7248.9999310250. Note that the first 4 decimals coincide. The cubic root of 52548000 is about 374.5577007510.

The spelling of 52548000 in words is "fifty-two million, five hundred forty-eight thousand".