45985152 has 64 divisors (see below), whose sum is σ = 126120960. Its totient is φ = 14830080.

The previous prime is 45985151. The next prime is 45985171. The reversal of 45985152 is 25158954.

45985152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45985152² = 4229268408926208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45985152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45985151) 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 7 ways as a sum of consecutive naturals, for example, 9973 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (1970640).

Almost surely, 2^45985152 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 45985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63060480).

45985152 is an abundant number, since it is smaller than the sum of its proper divisors (80135808).

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

45985152 is a wasteful number, since it uses less digits than its factorization.

45985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3899 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 45985152 is about 6781.2352856983. The cubic root of 45985152 is about 358.2662314350.

The spelling of 45985152 in words is "forty-five million, nine hundred eighty-five thousand, one hundred fifty-two".