51983736 has 64 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 14488320.

The previous prime is 51983731. The next prime is 51983741. The reversal of 51983736 is 63738915.

51983736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51983731) and next prime (51983741).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51983731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115 + ... + 10661.

It is an arithmetic number, because the mean of its divisors is an integer number (2377620).

Almost surely, 2^51983736 is an apocalyptic number.

51983736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51983736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

51983736 is an abundant number, since it is smaller than the sum of its proper divisors (100183944).

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

51983736 is a wasteful number, since it uses less digits than its factorization.

51983736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7600 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 51983736 is about 7209.9747572374. The cubic root of 51983736 is about 373.2121978026.

It can be divided in two parts, 519 and 83736, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 51983736 in words is "fifty-one million, nine hundred eighty-three thousand, seven hundred thirty-six".