51048624 has 80 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 15310080.

The previous prime is 51048619. The next prime is 51048653. The reversal of 51048624 is 42684015.

It is a junction number, because it is equal to n+sod(n) for n = 51048591 and 51048600.

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 15 ways as a sum of consecutive naturals, for example, 57109 + ... + 57995.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^51048624 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 51048624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673920).

51048624 is an abundant number, since it is smaller than the sum of its proper divisors (94299216).

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

51048624 is a wasteful number, since it uses less digits than its factorization.

51048624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 51048624 is about 7144.8319784303. The cubic root of 51048624 is about 370.9607948439.

The spelling of 51048624 in words is "fifty-one million, forty-eight thousand, six hundred twenty-four".