51429744 has 120 divisors (see below), whose sum is σ = 152740224. Its totient is φ = 16128000.

The previous prime is 51429737. The next prime is 51429761. The reversal of 51429744 is 44792415.

51429744 = 1273² + 1274² + ... + 1303².

It is a happy number.

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 = 51429699 and 51429708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182884 + ... + 183164.

Almost surely, 2^51429744 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 51429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76370112).

51429744 is an abundant number, since it is smaller than the sum of its proper divisors (101310480).

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

51429744 is a wasteful number, since it uses less digits than its factorization.

51429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51429744 is about 7171.4534091772. The cubic root of 51429744 is about 371.8816828025.

The spelling of 51429744 in words is "fifty-one million, four hundred twenty-nine thousand, seven hundred forty-four".