51292944 has 120 divisors (see below), whose sum is σ = 158775552. Its totient is φ = 15375360.

The previous prime is 51292907. The next prime is 51292949. The reversal of 51292944 is 44929215.

It is a super-2 number, since 2×51292944² = 5261932208374272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51292899 and 51292908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51292949) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55849 + ... + 56759.

Almost surely, 2^51292944 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 51292944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

51292944 is an abundant number, since it is smaller than the sum of its proper divisors (107482608).

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

51292944 is a wasteful number, since it uses less digits than its factorization.

51292944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 51292944 is about 7161.9092426531. The cubic root of 51292944 is about 371.5516624436.

It can be divided in two parts, 51 and 292944, that added together give a triangular number (292995 = T₇₆₅).

The spelling of 51292944 in words is "fifty-one million, two hundred ninety-two thousand, nine hundred forty-four".