54016256 has 72 divisors (see below), whose sum is σ = 126270144. Its totient is φ = 22579200.

The previous prime is 54016247. The next prime is 54016267. The reversal of 54016256 is 65261045.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76706 + ... + 77406.

It is an arithmetic number, because the mean of its divisors is an integer number (1753752).

Almost surely, 2^54016256 is an apocalyptic number.

54016256 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 54016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135072).

54016256 is an abundant number, since it is smaller than the sum of its proper divisors (72253888).

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

54016256 is an equidigital number, since it uses as much as digits as its factorization.

54016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 54016256 is about 7349.5752258209. The cubic root of 54016256 is about 378.0142394531.

The spelling of 54016256 in words is "fifty-four million, sixteen thousand, two hundred fifty-six".