51338496 has 144 divisors (see below), whose sum is σ = 153054720. Its totient is φ = 15144960.

The previous prime is 51338489. The next prime is 51338501. The reversal of 51338496 is 69483315.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (77760) is a multiple of the sum of its prime factors (192).

It is a congruent number.

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, 498381 + ... + 498483.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^51338496 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 51338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527360).

51338496 is an abundant number, since it is smaller than the sum of its proper divisors (101716224).

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

51338496 is a wasteful number, since it uses less digits than its factorization.

51338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 51338496 is about 7165.0886944964. The cubic root of 51338496 is about 371.6616185264.

The spelling of 51338496 in words is "fifty-one million, three hundred thirty-eight thousand, four hundred ninety-six".