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4482325728 = 25336777431
BaseRepresentation
bin1000010110010101…
…01101110011100000
3102120101021201222000
410023022231303200
533134433410403
62020435444000
7216035066016
oct41312556340
912511251860
104482325728
1119a0179731
12a51156600
13565828b5a
143074288b6
151b379b7a3
hex10b2adce0

4482325728 has 96 divisors (see below), whose sum is σ = 13268747520. Its totient is φ = 1471789440.

The previous prime is 4482325693. The next prime is 4482325747. The reversal of 4482325728 is 8275232844.

4482325728 is a `hidden beast` number, since 4 + 48 + 2 + 32 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19173 + ... + 96603.

It is an arithmetic number, because the mean of its divisors is an integer number (138216120).

Almost surely, 24482325728 is an apocalyptic number.

4482325728 is a gapful number since it is divisible by the number (48) 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 4482325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634373760).

4482325728 is an abundant number, since it is smaller than the sum of its proper divisors (8786421792).

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

4482325728 is a wasteful number, since it uses less digits than its factorization.

4482325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77517 (or 77503 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4482325728 is about 66950.1734725161. The cubic root of 4482325728 is about 1648.7993380919.

The spelling of 4482325728 in words is "four billion, four hundred eighty-two million, three hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1809 2144 2412 3216 3618 4824 6432 7236 9648 14472 19296 28944 57888 77431 154862 232293 309724 464586 619448 696879 929172 1238896 1393758 1858344 2090637 2477792 2787516 3716688 4181274 5187877 5575032 7433376 8362548 10375754 11150064 15563631 16725096 20751508 22300128 31127262 33450192 41503016 46690893 62254524 66900384 83006032 93381786 124509048 140072679 166012064 186763572 249018096 280145358 373527144 498036192 560290716 747054288 1120581432 1494108576 2241162864 4482325728