55007352 has 96 divisors (see below), whose sum is σ = 158371200. Its totient is φ = 17210688.

The previous prime is 55007347. The next prime is 55007353. The reversal of 55007352 is 25370055.

55007352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55007353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97423 + ... + 97985.

It is an arithmetic number, because the mean of its divisors is an integer number (1649700).

Almost surely, 2^55007352 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 55007352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79185600).

55007352 is an abundant number, since it is smaller than the sum of its proper divisors (103363848).

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

55007352 is a wasteful number, since it uses less digits than its factorization.

55007352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 55007352 is about 7416.6941422712. The cubic root of 55007352 is about 380.3121903554.

The spelling of 55007352 in words is "fifty-five million, seven thousand, three hundred fifty-two".