55649052 has 96 divisors (see below), whose sum is σ = 154344960. Its totient is φ = 17297280.

The previous prime is 55649051. The next prime is 55649053. The reversal of 55649052 is 25094655.

55649052 is a `hidden beast` number, since 5 + 5 + 649 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55649051) and next prime (55649053).

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 = 55648998 and 55649016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55649051) 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 31 ways as a sum of consecutive naturals, for example, 106552 + ... + 107072.

It is an arithmetic number, because the mean of its divisors is an integer number (1607760).

Almost surely, 2^55649052 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 55649052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77172480).

55649052 is an abundant number, since it is smaller than the sum of its proper divisors (98695908).

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

55649052 is a wasteful number, since it uses less digits than its factorization.

55649052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55649052 is about 7459.8292205653. The cubic root of 55649052 is about 381.7853476404.

The spelling of 55649052 in words is "fifty-five million, six hundred forty-nine thousand, fifty-two".