51682000 has 40 divisors (see below), whose sum is σ = 124971912. Its totient is φ = 20672000.

The previous prime is 51681979. The next prime is 51682027. The reversal of 51682000 is 28615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 46131264 = 2356^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10921 + ... + 14920.

Almost surely, 2^51682000 is an apocalyptic number.

51682000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51682000 is an abundant number, since it is smaller than the sum of its proper divisors (73289912).

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

51682000 is a wasteful number, since it uses less digits than its factorization.

51682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864 (or 25848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 51682000 is about 7189.0194046198. The cubic root of 51682000 is about 372.4887013674.

It can be divided in two parts, 5 and 1682000, that multiplied together give a square (8410000 = 2900²).

The spelling of 51682000 in words is "fifty-one million, six hundred eighty-two thousand".