55038240 has 144 divisors (see below), whose sum is σ = 193080888. Its totient is φ = 14266368.

The previous prime is 55038239. The next prime is 55038253. The reversal of 55038240 is 4283055.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 219024 = 7404^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 52764 + ... + 53796.

Almost surely, 2^55038240 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 55038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96540444).

55038240 is an abundant number, since it is smaller than the sum of its proper divisors (138042648).

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

55038240 is a wasteful number, since it uses less digits than its factorization.

55038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55038240 is about 7418.7761793978. The cubic root of 55038240 is about 380.3833619621.

It can be divided in two parts, 55038 and 240, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 55038240 in words is "fifty-five million, thirty-eight thousand, two hundred forty".