51629984 has 48 divisors (see below), whose sum is σ = 117609408. Its totient is φ = 21852672.

The previous prime is 51629983. The next prime is 51629989. The reversal of 51629984 is 48992615.

51629984 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 (51629983) 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 7 ways as a sum of consecutive naturals, for example, 17204 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (2450196).

Almost surely, 2^51629984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51629984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58804704).

51629984 is an abundant number, since it is smaller than the sum of its proper divisors (65979424).

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

51629984 is a wasteful number, since it uses less digits than its factorization.

With its successor (51629985) it forms an eRAP, since the sums of their prime factors are consecutive (2877 and 2878).

51629984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2869 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 51629984 is about 7185.4007543073. The cubic root of 51629984 is about 372.3636941043.

The spelling of 51629984 in words is "fifty-one million, six hundred twenty-nine thousand, nine hundred eighty-four".