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4883032224 = 2532719127481
BaseRepresentation
bin1001000110000110…
…10010100010100000
3110121022021201221100
410203003102202200
540000024012344
62124312154400
7232002042360
oct44303224240
913538251840
104883032224
112086387424
12b43398a00
135ca856ba5
143447349a0
151d8a4e569
hex1230d28a0

4883032224 has 144 divisors (see below), whose sum is σ = 16705241280. Its totient is φ = 1321712640.

The previous prime is 4883032223. The next prime is 4883032303. The reversal of 4883032224 is 4222303884.

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 not an unprimeable number, because it can be changed into a prime (4883032223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25437 + ... + 102044.

It is an arithmetic number, because the mean of its divisors is an integer number (116008620).

Almost surely, 24883032224 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 4883032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352620640).

4883032224 is an abundant number, since it is smaller than the sum of its proper divisors (11822209056).

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

4883032224 is a wasteful number, since it uses less digits than its factorization.

4883032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127523 (or 127512 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4883032224 is about 69878.6964961425. The cubic root of 4883032224 is about 1696.5364573585.

The spelling of 4883032224 in words is "four billion, eight hundred eighty-three million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 127481 254962 382443 509924 764886 892367 1019848 1147329 1529772 1784734 2039696 2294658 2422139 2677101 3059544 3569468 4079392 4589316 4844278 5354202 6119088 7138936 7266417 8031303 9178632 9688556 10708404 12238176 14277872 14532834 16062606 16954973 18357264 19377112 21416808 21799251 28555744 29065668 32125212 33909946 36714528 38754224 42833616 43598502 50864919 58131336 64250424 67819892 77508448 85667232 87197004 101729838 116262672 128500848 135639784 152594757 174394008 203459676 232525344 257001696 271279568 305189514 348788016 406919352 542559136 610379028 697576032 813838704 1220758056 1627677408 2441516112 4883032224