55152032 has 48 divisors (see below), whose sum is σ = 117641160. Its totient is φ = 25300992.

The previous prime is 55152001. The next prime is 55152047. The reversal of 55152032 is 23025155.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 35473936 = 4436^2 + 5956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55151989 and 55152007.

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 7 ways as a sum of consecutive naturals, for example, 96644 + ... + 97212.

Almost surely, 2^55152032 is an apocalyptic number.

55152032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820580).

55152032 is an abundant number, since it is smaller than the sum of its proper divisors (62489128).

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

55152032 is a wasteful number, since it uses less digits than its factorization.

55152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 55152032 is about 7426.4414089118. The cubic root of 55152032 is about 380.6453300491.

Adding to 55152032 its reverse (23025155), we get a palindrome (78177187).

The spelling of 55152032 in words is "fifty-five million, one hundred fifty-two thousand, thirty-two".