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483266304 = 2833139503
BaseRepresentation
bin11100110011100…
…000111100000000
31020200100110202000
4130303200330000
51442204010204
6115542024000
714655460443
oct3463407400
91220313660
10483266304
11228878144
12115a18000
13791765c1
144827b65a
152c660039
hex1cce0f00

483266304 has 144 divisors (see below), whose sum is σ = 1442246400. Its totient is φ = 159611904.

The previous prime is 483266291. The next prime is 483266323. The reversal of 483266304 is 403662384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 960517 + ... + 961019.

It is an arithmetic number, because the mean of its divisors is an integer number (10015600).

Almost surely, 2483266304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

483266304 is an abundant number, since it is smaller than the sum of its proper divisors (958980096).

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

483266304 is a wasteful number, since it uses less digits than its factorization.

483266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 483266304 is about 21983.3187667377. The cubic root of 483266304 is about 784.7455077241.

The spelling of 483266304 in words is "four hundred eighty-three million, two hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 256 278 288 384 417 432 503 556 576 768 834 864 1006 1112 1152 1251 1509 1668 1728 2012 2224 2304 2502 3018 3336 3456 3753 4024 4448 4527 5004 6036 6672 6912 7506 8048 8896 9054 10008 12072 13344 13581 15012 16096 17792 18108 20016 24144 26688 27162 30024 32192 35584 36216 40032 48288 53376 54324 60048 64384 69917 72432 80064 96576 106752 108648 120096 128768 139834 144864 160128 193152 209751 217296 240192 279668 289728 320256 386304 419502 434592 480384 559336 579456 629253 839004 869184 960768 1118672 1158912 1258506 1678008 1738368 1887759 2237344 2517012 3356016 3476736 3775518 4474688 5034024 6712032 7551036 8949376 10068048 13424064 15102072 17898752 20136096 26848128 30204144 40272192 53696256 60408288 80544384 120816576 161088768 241633152 483266304