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44066000 = 2453112003
BaseRepresentation
bin1010100000011…
…0010011010000
310001220210012002
42220012103100
542240103000
64212253132
71043361206
oct250062320
9101823162
1044066000
1122968490
12129111a8
13918b474
145bd1076
153d068d5
hex2a064d0

44066000 has 80 divisors (see below), whose sum is σ = 116296128. Its totient is φ = 16016000.

The previous prime is 44065943. The next prime is 44066003. The reversal of 44066000 is 66044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44066003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20999 + ... + 23001.

Almost surely, 244066000 is an apocalyptic number.

44066000 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 44066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58148064).

44066000 is an abundant number, since it is smaller than the sum of its proper divisors (72230128).

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

44066000 is a wasteful number, since it uses less digits than its factorization.

44066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 44066000 is about 6638.2226536928. Note that the first 3 decimals coincide. The cubic root of 44066000 is about 353.2112627641.

The spelling of 44066000 in words is "forty-four million, sixty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2003 2200 2750 4006 4400 5500 8012 10015 11000 16024 20030 22000 22033 32048 40060 44066 50075 80120 88132 100150 110165 160240 176264 200300 220330 250375 352528 400600 440660 500750 550825 801200 881320 1001500 1101650 1762640 2003000 2203300 2754125 4006000 4406600 5508250 8813200 11016500 22033000 44066000