55826496 has 210 divisors, whose sum is σ = 183942990. Its totient is φ = 16727040.

The previous prime is 55826473. The next prime is 55826527. The reversal of 55826496 is 69462855.

55826496 is a `hidden beast` number, since 5 + 582 + 64 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 15681600 = 6336^2 + 3960^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (518400) is a multiple of the sum of its prime factors (135).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 627220 + ... + 627308.

It is an arithmetic number, because the mean of its divisors is an integer number (875919).

Almost surely, 2^55826496 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 55826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91971495).

55826496 is an abundant number, since it is smaller than the sum of its proper divisors (128116494).

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

55826496 is a wasteful number, since it uses less digits than its factorization.

55826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 55826496 is about 7471.7130565888. The cubic root of 55826496 is about 382.1907072948.

The spelling of 55826496 in words is "fifty-five million, eight hundred twenty-six thousand, four hundred ninety-six".