45842544 has 120 divisors (see below), whose sum is σ = 144799760. Its totient is φ = 13875840.

The previous prime is 45842527. The next prime is 45842561. The reversal of 45842544 is 44524854.

It is an interprime number because it is at equal distance from previous prime (45842527) and next prime (45842561).

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

It is a junction number, because it is equal to n+sod(n) for n = 45842499 and 45842508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51834 + ... + 52710.

Almost surely, 2^45842544 is an apocalyptic number.

45842544 is a gapful number since it is divisible by the number (44) 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 45842544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399880).

45842544 is an abundant number, since it is smaller than the sum of its proper divisors (98957216).

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

45842544 is a wasteful number, since it uses less digits than its factorization.

45842544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 45842544 is about 6770.7122225066. The cubic root of 45842544 is about 357.8954991849.

The spelling of 45842544 in words is "forty-five million, eight hundred forty-two thousand, five hundred forty-four".