51894600 has 48 divisors (see below), whose sum is σ = 160875120. Its totient is φ = 13838400.

The previous prime is 51894599. The next prime is 51894607. The reversal of 51894600 is 649815.

51894600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51894607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42646 + ... + 43845.

It is an arithmetic number, because the mean of its divisors is an integer number (3351565).

Almost surely, 2^51894600 is an apocalyptic number.

51894600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51894600 is an abundant number, since it is smaller than the sum of its proper divisors (108980520).

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

51894600 is a wasteful number, since it uses less digits than its factorization.

51894600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86510 (or 86501 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 51894600 is about 7203.7906688076. The cubic root of 51894600 is about 372.9987613373.

It can be divided in two parts, 51894 and 600, that multiplied together give a square (31136400 = 5580²).

The spelling of 51894600 in words is "fifty-one million, eight hundred ninety-four thousand, six hundred".