51853824 has 240 divisors, whose sum is σ = 174155520. Its totient is φ = 15206400.

The previous prime is 51853787. The next prime is 51853849. The reversal of 51853824 is 42835815.

It is a happy number.

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

Its product of digits (38400) is a multiple of the sum of its prime factors (80).

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, 1672689 + ... + 1672719.

It is an arithmetic number, because the mean of its divisors is an integer number (725648).

Almost surely, 2^51853824 is an apocalyptic number.

51853824 is a gapful number since it is divisible by the number (54) 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 51853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

51853824 is an abundant number, since it is smaller than the sum of its proper divisors (122301696).

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

51853824 is a wasteful number, since it uses less digits than its factorization.

51853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

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

The square root of 51853824 is about 7200.9599360085. The cubic root of 51853824 is about 372.9010415822.

Subtracting from 51853824 its reverse (42835815), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 5185 and 3824, that added together give a palindrome (9009).

The spelling of 51853824 in words is "fifty-one million, eight hundred fifty-three thousand, eight hundred twenty-four".