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44400400 = 24521110091
BaseRepresentation
bin1010100101011…
…1111100010000
310002112202220021
42221113330100
542331303100
64223353224
71046253142
oct251277420
9102482807
1044400400
1123076750
1212a52814
139277735
145c7ac92
153d70a1a
hex2a57f10

44400400 has 60 divisors (see below), whose sum is σ = 116380944. Its totient is φ = 16144000.

The previous prime is 44400337. The next prime is 44400403. The reversal of 44400400 is 400444.

44400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44400403) 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 11 ways as a sum of consecutive naturals, for example, 646 + ... + 9445.

Almost surely, 244400400 is an apocalyptic number.

44400400 is a gapful number since it is divisible by the number (40) 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 44400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58190472).

44400400 is an abundant number, since it is smaller than the sum of its proper divisors (71980544).

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

44400400 is a wasteful number, since it uses less digits than its factorization.

44400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44400400 is about 6663.3625145267. The cubic root of 44400400 is about 354.1024738713.

Adding to 44400400 its reverse (400444), we get a palindrome (44800844).

The spelling of 44400400 in words is "forty-four million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 10091 20182 40364 50455 80728 100910 111001 161456 201820 222002 252275 403640 444004 504550 555005 807280 888008 1009100 1110010 1776016 2018200 2220020 2775025 4036400 4440040 5550050 8880080 11100100 22200200 44400400