45506552 has 64 divisors (see below), whose sum is σ = 111222720. Its totient is φ = 16939008.

The previous prime is 45506509. The next prime is 45506557. The reversal of 45506552 is 25560554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10538 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (1737855).

Almost surely, 2^45506552 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 45506552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55611360).

45506552 is an abundant number, since it is smaller than the sum of its proper divisors (65716168).

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

45506552 is a wasteful number, since it uses less digits than its factorization.

45506552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 45506552 is about 6745.8544306856. The cubic root of 45506552 is about 357.0189843624.

It can be divided in two parts, 4550 and 6552, that multiplied together give a square (29811600 = 5460²).

The spelling of 45506552 in words is "forty-five million, five hundred six thousand, five hundred fifty-two".