51829200 has 120 divisors (see below), whose sum is σ = 184512000. Its totient is φ = 13818240.

The previous prime is 51829181. The next prime is 51829223. The reversal of 51829200 is 292815.

51829200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8401 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (1537600).

Almost surely, 2^51829200 is an apocalyptic number.

51829200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51829200 is the 3600-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

51829200 is an abundant number, since it is smaller than the sum of its proper divisors (132682800).

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

51829200 is a wasteful number, since it uses less digits than its factorization.

51829200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 51829200 is about 7199.2499609334. The cubic root of 51829200 is about 372.8420053119.

The spelling of 51829200 in words is "fifty-one million, eight hundred twenty-nine thousand, two hundred".