51382032 has 80 divisors (see below), whose sum is σ = 145199040. Its totient is φ = 15561216.

The previous prime is 51382031. The next prime is 51382039. The reversal of 51382032 is 23028315.

It is a super-2 number, since 2×51382032² = 5280226424898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 51381993 and 51382011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41194 + ... + 42422.

It is an arithmetic number, because the mean of its divisors is an integer number (1814988).

Almost surely, 2^51382032 is an apocalyptic number.

51382032 is a gapful number since it is divisible by the number (52) 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 51382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72599520).

51382032 is an abundant number, since it is smaller than the sum of its proper divisors (93817008).

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

51382032 is a wasteful number, since it uses less digits than its factorization.

51382032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51382032 is about 7168.1261149620. The cubic root of 51382032 is about 371.7666474995.

The spelling of 51382032 in words is "fifty-one million, three hundred eighty-two thousand, thirty-two".