55753344 has 48 divisors (see below), whose sum is σ = 160439370. Its totient is φ = 18584064.

The previous prime is 55753337. The next prime is 55753351. The reversal of 55753344 is 44335755.

It is an interprime number because it is at equal distance from previous prime (55753337) and next prime (55753351).

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 15303744 = 6360^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55753299 and 55753308.

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 5 ways as a sum of consecutive naturals, for example, 23047 + ... + 25350.

Almost surely, 2^55753344 is an apocalyptic number.

It is an amenable number.

55753344 is an abundant number, since it is smaller than the sum of its proper divisors (104686026).

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

55753344 is a wasteful number, since it uses less digits than its factorization.

55753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48417 (or 48402 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 55753344 is about 7466.8161889791. The cubic root of 55753344 is about 382.0237003652.

The spelling of 55753344 in words is "fifty-five million, seven hundred fifty-three thousand, three hundred forty-four".