51583248 has 60 divisors (see below), whose sum is σ = 147899388. Its totient is φ = 16773120.

The previous prime is 51583201. The next prime is 51583297. The reversal of 51583248 is 84238515.

It is a happy number.

51583248 is a `hidden beast` number, since 51 + 583 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 42146064 = 3072^2 + 6492^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1536 + ... + 10272.

Almost surely, 2^51583248 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 51583248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73949694).

51583248 is an abundant number, since it is smaller than the sum of its proper divisors (96316140).

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

51583248 is a wasteful number, since it uses less digits than its factorization.

51583248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8783 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 51583248 is about 7182.1478681520. The cubic root of 51583248 is about 372.2513043521.

The spelling of 51583248 in words is "fifty-one million, five hundred eighty-three thousand, two hundred forty-eight".