51923200 has 216 divisors, whose sum is σ = 157142720. Its totient is φ = 16588800.

The previous prime is 51923177. The next prime is 51923237. The reversal of 51923200 is 232915.

51923200 = T₂₆₄ + T₂₆₅ + ... + T₆₉₀.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851170 + ... + 851230.

Almost surely, 2^51923200 is an apocalyptic number.

51923200 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 51923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78571360).

51923200 is an abundant number, since it is smaller than the sum of its proper divisors (105219520).

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

51923200 is a wasteful number, since it uses less digits than its factorization.

51923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 51923200 is about 7205.7754613921. The cubic root of 51923200 is about 373.0672707483.

The spelling of 51923200 in words is "fifty-one million, nine hundred twenty-three thousand, two hundred".