45812844 has 144 divisors (see below), whose sum is σ = 150917760. Its totient is φ = 11884320.

The previous prime is 45812831. The next prime is 45812863. The reversal of 45812844 is 44821854.

45812844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 45812799 and 45812808.

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 47 ways as a sum of consecutive naturals, for example, 57819 + ... + 58605.

It is an arithmetic number, because the mean of its divisors is an integer number (1048040).

Almost surely, 2^45812844 is an apocalyptic number.

45812844 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 45812844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75458880).

45812844 is an abundant number, since it is smaller than the sum of its proper divisors (105104916).

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

45812844 is a wasteful number, since it uses less digits than its factorization.

45812844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 45812844 is about 6768.5185971526. The cubic root of 45812844 is about 357.8181925920.

It can be divided in two parts, 45812 and 844, that added together give a 6-th power (46656 = 6⁶).

The spelling of 45812844 in words is "forty-five million, eight hundred twelve thousand, eight hundred forty-four".