56382144 has 168 divisors, whose sum is σ = 187287408. Its totient is φ = 14837760.

The previous prime is 56382143. The next prime is 56382167. The reversal of 56382144 is 44128365.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (56382143) 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, 122074 + ... + 122534.

It is an arithmetic number, because the mean of its divisors is an integer number (1114806).

Almost surely, 2^56382144 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 56382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93643704).

56382144 is an abundant number, since it is smaller than the sum of its proper divisors (130905264).

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

56382144 is a wasteful number, since it uses less digits than its factorization.

56382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 56382144 is about 7508.8044321317. The cubic root of 56382144 is about 383.4545206419.

The spelling of 56382144 in words is "fifty-six million, three hundred eighty-two thousand, one hundred forty-four".