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1044002000 = 24531094789
BaseRepresentation
bin111110001110100…
…011010011010000
32200202110210111202
4332032203103100
54114231031000
6251332330332
734604604416
oct7616432320
92622423452
101044002000
11496348178
122517739a8
131383a5482
149c9232b6
15619c3dd5
hex3e3a34d0

1044002000 has 80 divisors (see below), whose sum is σ = 2548088400. Its totient is φ = 413683200.

The previous prime is 1044001997. The next prime is 1044002017. The reversal of 1044002000 is 2004401.

1044002000 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 8 ways, for example, as 499433104 + 544568896 = 22348^2 + 23336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215606 + ... + 220394.

It is an arithmetic number, because the mean of its divisors is an integer number (31851105).

Almost surely, 21044002000 is an apocalyptic number.

1044002000 is a gapful number since it is divisible by the number (10) 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 1044002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274044200).

1044002000 is an abundant number, since it is smaller than the sum of its proper divisors (1504086400).

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

1044002000 is a wasteful number, since it uses less digits than its factorization.

1044002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1044002000 is about 32311.0197920152. The cubic root of 1044002000 is about 1014.4573121977.

Adding to 1044002000 its reverse (2004401), we get a palindrome (1046006401).

The spelling of 1044002000 in words is "one billion, forty-four million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 872 1000 1090 1744 2000 2180 2725 4360 4789 5450 8720 9578 10900 13625 19156 21800 23945 27250 38312 43600 47890 54500 76624 95780 109000 119725 191560 218000 239450 383120 478900 522001 598625 957800 1044002 1197250 1915600 2088004 2394500 2610005 4176008 4789000 5220010 8352016 9578000 10440020 13050025 20880040 26100050 41760080 52200100 65250125 104400200 130500250 208800400 261000500 522001000 1044002000