45987552 has 144 divisors (see below), whose sum is σ = 143646048. Its totient is φ = 13870080.

The previous prime is 45987547. The next prime is 45987553. The reversal of 45987552 is 25578954.

45987552 is a `hidden beast` number, since 4 + 5 + 98 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45987552² = 4229709877905408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45987498 and 45987507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45987553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265738 + ... + 265910.

It is an arithmetic number, because the mean of its divisors is an integer number (997542).

Almost surely, 2^45987552 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 45987552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71823024).

45987552 is an abundant number, since it is smaller than the sum of its proper divisors (97658496).

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

45987552 is a wasteful number, since it uses less digits than its factorization.

45987552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 45987552 is about 6781.4122422988. The cubic root of 45987552 is about 358.2724640554.

The spelling of 45987552 in words is "forty-five million, nine hundred eighty-seven thousand, five hundred fifty-two".