51455952 has 80 divisors (see below), whose sum is σ = 155496000. Its totient is φ = 16246656.

The previous prime is 51455941. The next prime is 51455959. The reversal of 51455952 is 25955415.

51455952 is a `hidden beast` number, since 51 + 4 + 559 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51455959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5074 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (1943700).

Almost surely, 2^51455952 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 51455952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748000).

51455952 is an abundant number, since it is smaller than the sum of its proper divisors (104040048).

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

51455952 is a wasteful number, since it uses less digits than its factorization.

51455952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6293 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 51455952 is about 7173.2804211184. The cubic root of 51455952 is about 371.9448409371.

The spelling of 51455952 in words is "fifty-one million, four hundred fifty-five thousand, nine hundred fifty-two".