55460052 has 60 divisors (see below), whose sum is σ = 153527220. Its totient is φ = 17397504.

The previous prime is 55460051. The next prime is 55460063. The reversal of 55460052 is 25006455.

55460052 is a `hidden beast` number, since 5 + 5 + 4 + 600 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 26687556 = 5364^2 + 5166^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55459998 and 55460025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55460051) 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 19 ways as a sum of consecutive naturals, for example, 474 + ... + 10542.

It is an arithmetic number, because the mean of its divisors is an integer number (2558787).

Almost surely, 2^55460052 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 55460052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76763610).

55460052 is an abundant number, since it is smaller than the sum of its proper divisors (98067168).

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

55460052 is a wasteful number, since it uses less digits than its factorization.

55460052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55460052 is about 7447.1505960334. The cubic root of 55460052 is about 381.3526402138.

It can be divided in two parts, 554 and 60052, that added together give a palindrome (60606).

The spelling of 55460052 in words is "fifty-five million, four hundred sixty thousand, fifty-two".