45878112 has 108 divisors (see below), whose sum is σ = 151813116. Its totient is φ = 13104000.

The previous prime is 45878111. The next prime is 45878153. The reversal of 45878112 is 21187854.

It is a super-4 number, since 4×45878112⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45878111) 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 17 ways as a sum of consecutive naturals, for example, 12487 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (1405677).

Almost surely, 2^45878112 is an apocalyptic number.

45878112 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 45878112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75906558).

45878112 is an abundant number, since it is smaller than the sum of its proper divisors (105935004).

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

45878112 is a wasteful number, since it uses less digits than its factorization.

45878112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3263 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 45878112 is about 6773.3383202081. The cubic root of 45878112 is about 357.9880357622.

The spelling of 45878112 in words is "forty-five million, eight hundred seventy-eight thousand, one hundred twelve".