51629200 has 60 divisors (see below), whose sum is σ = 141766720. Its totient is φ = 17700480.

The previous prime is 51629173. The next prime is 51629231. The reversal of 51629200 is 292615.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6420 + ... + 12019.

Almost surely, 2^51629200 is an apocalyptic number.

51629200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51629200 is an abundant number, since it is smaller than the sum of its proper divisors (90137520).

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

51629200 is a wasteful number, since it uses less digits than its factorization.

51629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18464 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 51629200 is about 7185.3461990359. The cubic root of 51629200 is about 372.3618093170.

The spelling of 51629200 in words is "fifty-one million, six hundred twenty-nine thousand, two hundred".