52038000 has 360 divisors, whose sum is σ = 215008560. Its totient is φ = 11692800.

The previous prime is 52037989. The next prime is 52038013. The reversal of 52038000 is 83025.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 881971 + ... + 882029.

It is an arithmetic number, because the mean of its divisors is an integer number (597246).

Almost surely, 2^52038000 is an apocalyptic number.

52038000 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 52038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107504280).

52038000 is an abundant number, since it is smaller than the sum of its proper divisors (162970560).

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

52038000 is a wasteful number, since it uses less digits than its factorization.

52038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52038000 is about 7213.7368956734. The cubic root of 52038000 is about 373.3420136871.

It can be divided in two parts, 5203 and 8000, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 52038000 in words is "fifty-two million, thirty-eight thousand".