45988992 has 128 divisors (see below), whose sum is σ = 155203200. Its totient is φ = 13132800.

The previous prime is 45988979. The next prime is 45989011. The reversal of 45988992 is 29988954.

45988992 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 (128).

It is a super-2 number, since 2×45988992² = 4229974770352128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23242 + ... + 25142.

It is an arithmetic number, because the mean of its divisors is an integer number (1212525).

Almost surely, 2^45988992 is an apocalyptic number.

45988992 is a gapful number since it is divisible by the number (42) 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 45988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77601600).

45988992 is an abundant number, since it is smaller than the sum of its proper divisors (109214208).

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

45988992 is a wasteful number, since it uses less digits than its factorization.

45988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1913 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 45988992 is about 6781.5184140427. The cubic root of 45988992 is about 358.2762035236.

The spelling of 45988992 in words is "forty-five million, nine hundred eighty-eight thousand, nine hundred ninety-two".