51946048 has 112 divisors (see below), whose sum is σ = 131088384. Its totient is φ = 19837440.

The previous prime is 51946031. The next prime is 51946051. The reversal of 51946048 is 84064915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 51945998 and 51946016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408961 + ... + 409087.

It is an arithmetic number, because the mean of its divisors is an integer number (1170432).

Almost surely, 2^51946048 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 51946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65544192).

51946048 is an abundant number, since it is smaller than the sum of its proper divisors (79142336).

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

51946048 is a wasteful number, since it uses less digits than its factorization.

51946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 51946048 is about 7207.3606819695. The cubic root of 51946048 is about 373.1219835488.

The spelling of 51946048 in words is "fifty-one million, nine hundred forty-six thousand, forty-eight".