53082432 has 224 divisors, whose sum is σ = 179222400. Its totient is φ = 15261696.

The previous prime is 53082397. The next prime is 53082437. The reversal of 53082432 is 23428035.

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

It is a junction number, because it is equal to n+sod(n) for n = 53082396 and 53082405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53082437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381819 + ... + 381957.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 2^53082432 is an apocalyptic number.

53082432 is a gapful number since it is divisible by the number (52) 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 53082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

53082432 is an abundant number, since it is smaller than the sum of its proper divisors (126139968).

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

53082432 is a wasteful number, since it uses less digits than its factorization.

53082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53082432 is about 7285.7691426506. The cubic root of 53082432 is about 375.8232155208.

The spelling of 53082432 in words is "fifty-three million, eighty-two thousand, four hundred thirty-two".