45849888 has 270 divisors, whose sum is σ = 165548691. Its totient is φ = 12410496.

The previous prime is 45849877. The next prime is 45849889. The reversal of 45849888 is 88894854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45849888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 22924944 = 4788^2 + 4788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4788.

It is a super-2 number, since 2×45849888² = 4204424459225088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45849889) 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 44 ways as a sum of consecutive naturals, for example, 2413143 + ... + 2413161.

Almost surely, 2^45849888 is an apocalyptic number.

45849888 is a gapful number since it is divisible by the number (48) 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 45849888

45849888 is an abundant number, since it is smaller than the sum of its proper divisors (119698803).

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

45849888 is a wasteful number, since it uses less digits than its factorization.

45849888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 45849888 is about 6771.2545366424. The cubic root of 45849888 is about 357.9146098477.

The spelling of 45849888 in words is "forty-five million, eight hundred forty-nine thousand, eight hundred eighty-eight".