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483305472 = 21132132017
BaseRepresentation
bin11100110011101…
…010100000000000
31020200102110110200
4130303222200000
51442211233342
6115542525200
714656012566
oct3463524000
91220373420
10483305472
112288a4611
12115a36800
137918b390
144828ba36
152c66b94c
hex1ccea800

483305472 has 144 divisors (see below), whose sum is σ = 1503995220. Its totient is φ = 148635648.

The previous prime is 483305467. The next prime is 483305483. The reversal of 483305472 is 274503384.

It is a happy number.

483305472 is a `hidden beast` number, since 4 + 83 + 30 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483296256 + 9216 = 21984^2 + 96^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238608 + ... + 240624.

Almost surely, 2483305472 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 483305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751997610).

483305472 is an abundant number, since it is smaller than the sum of its proper divisors (1020689748).

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

483305472 is a wasteful number, since it uses less digits than its factorization.

483305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 483305472 is about 21984.2096059877. The cubic root of 483305472 is about 784.7667079619.

The spelling of 483305472 in words is "four hundred eighty-three million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2017 2048 2304 2496 3072 3328 3744 4034 4608 4992 6051 6144 6656 7488 8068 9216 9984 12102 13312 14976 16136 18153 18432 19968 24204 26221 26624 29952 32272 36306 39936 48408 52442 59904 64544 72612 78663 79872 96816 104884 119808 129088 145224 157326 193632 209768 235989 239616 258176 290448 314652 387264 419536 471978 516352 580896 629304 774528 839072 943956 1032704 1161792 1258608 1549056 1678144 1887912 2065408 2323584 2517216 3098112 3356288 3775824 4130816 4647168 5034432 6196224 6712576 7551648 9294336 10068864 12392448 13425152 15103296 18588672 20137728 26850304 30206592 37177344 40275456 53700608 60413184 80550912 120826368 161101824 241652736 483305472