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4480444000 = 25536911621
BaseRepresentation
bin1000010110000111…
…00010011001100000
3102120020202010201101
410023003202121200
533133443202000
62020331244144
7216013100644
oct41303423140
912506663641
104480444000
11199a10398a
12a505a9654
1356531a4c6
14307098c24
151b3528e6a
hex10b0e2660

4480444000 has 96 divisors (see below), whose sum is σ = 11031183072. Its totient is φ = 1788480000.

The previous prime is 4480443983. The next prime is 4480444009. The reversal of 4480444000 is 4440844.

It is a self number, because there is not a number n which added to its sum of digits gives 4480444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480444009) 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, 2763190 + ... + 2764810.

It is an arithmetic number, because the mean of its divisors is an integer number (114908157).

Almost surely, 24480444000 is an apocalyptic number.

4480444000 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 4480444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515591536).

4480444000 is an abundant number, since it is smaller than the sum of its proper divisors (6550739072).

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

4480444000 is a wasteful number, since it uses less digits than its factorization.

4480444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4480444000 is about 66936.1187999424. The cubic root of 4480444000 is about 1648.5685779659.

Adding to 4480444000 its reverse (4440844), we get a palindrome (4484884844).

It can be divided in two parts, 44804 and 44000, that added together give a square (88804 = 2982).

The spelling of 4480444000 in words is "four billion, four hundred eighty million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 691 800 1000 1382 1621 2000 2764 3242 3455 4000 5528 6484 6910 8105 11056 12968 13820 16210 17275 22112 25936 27640 32420 34550 40525 51872 55280 64840 69100 81050 86375 110560 129680 138200 162100 172750 202625 259360 276400 324200 345500 405250 552800 648400 691000 810500 1120111 1296800 1382000 1621000 2240222 2764000 3242000 4480444 5600555 6484000 8960888 11201110 17921776 22402220 28002775 35843552 44804440 56005550 89608880 112011100 140013875 179217760 224022200 280027750 448044400 560055500 896088800 1120111000 2240222000 4480444000