52929800 has 144 divisors (see below), whose sum is σ = 156485520. Its totient is φ = 16464000.

The previous prime is 52929787. The next prime is 52929809. The reversal of 52929800 is 892925.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (52929809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107555 + ... + 108045.

It is an arithmetic number, because the mean of its divisors is an integer number (1086705).

Almost surely, 2^52929800 is an apocalyptic number.

52929800 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 52929800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78242760).

52929800 is an abundant number, since it is smaller than the sum of its proper divisors (103555720).

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

52929800 is a wasteful number, since it uses less digits than its factorization.

52929800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 52929800 is about 7275.2869359222. The cubic root of 52929800 is about 375.4626585870.

The spelling of 52929800 in words is "fifty-two million, nine hundred twenty-nine thousand, eight hundred".