51478848 has 112 divisors (see below), whose sum is σ = 156382720. Its totient is φ = 16606080.

The previous prime is 51478837. The next prime is 51478859. The reversal of 51478848 is 84887415.

The cubic root of 51478848 is 372.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (51478837) and next prime (51478859).

It is a congruent number.

It is an unprimeable number.

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, 1660593 + ... + 1660623.

Almost surely, 2^51478848 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 51478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191360).

51478848 is an abundant number, since it is smaller than the sum of its proper divisors (104903872).

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

51478848 is an frugal number, since it uses more digits than its factorization.

51478848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 36 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 51478848 is about 7174.8761661788.

It can be divided in two parts, 51478 and 848, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51478848 in words is "fifty-one million, four hundred seventy-eight thousand, eight hundred forty-eight".