51106248 has 64 divisors (see below), whose sum is σ = 142732800. Its totient is φ = 16943040.

The previous prime is 51106243. The next prime is 51106261. The reversal of 51106248 is 84260115.

It is a super-2 number, since 2×51106248² = 5223697169275008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51106241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47638 + ... + 48698.

It is an arithmetic number, because the mean of its divisors is an integer number (2230200).

Almost surely, 2^51106248 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 51106248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366400).

51106248 is an abundant number, since it is smaller than the sum of its proper divisors (91626552).

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

51106248 is a wasteful number, since it uses less digits than its factorization.

51106248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51106248 is about 7148.8634061646. The cubic root of 51106248 is about 371.1003232973.

The spelling of 51106248 in words is "fifty-one million, one hundred six thousand, two hundred forty-eight".