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4513690728 = 2332538314251
BaseRepresentation
bin1000011010000100…
…10111010001101000
3102122120022020122200
410031002113101220
533221001100403
62023520020200
7216565511121
oct41502272150
912576266580
104513690728
111a06951718
12a5b761660
1356c18b221
1430b671048
151b63e4ca3
hex10d097468

4513690728 has 96 divisors (see below), whose sum is σ = 12606179040. Its totient is φ = 1458288000.

The previous prime is 4513690721. The next prime is 4513690751. The reversal of 4513690728 is 8270963154.

4513690728 is a `hidden beast` number, since 4 + 513 + 69 + 0 + 72 + 8 = 666.

4513690728 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4513690728 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (4513690721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309603 + ... + 323853.

It is an arithmetic number, because the mean of its divisors is an integer number (131314365).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4513690728 = 9027381456, but 3⋅4513690728 = 13541072184 is not.

Almost surely, 24513690728 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 4513690728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303089520).

4513690728 is an abundant number, since it is smaller than the sum of its proper divisors (8092488312).

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

4513690728 is a wasteful number, since it uses less digits than its factorization.

4513690728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14399 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4513690728 is about 67184.0064896401. The cubic root of 4513690728 is about 1652.6362178071.

The spelling of 4513690728 in words is "four billion, five hundred thirteen million, six hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 83 106 159 166 212 249 318 332 424 477 498 636 664 747 954 996 1272 1494 1908 1992 2988 3816 4399 5976 8798 13197 14251 17596 26394 28502 35192 39591 42753 52788 57004 79182 85506 105576 114008 128259 158364 171012 256518 316728 342024 513036 755303 1026072 1182833 1510606 2265909 2365666 3021212 3548499 4531818 4731332 6042424 6797727 7096998 9063636 9462664 10645497 13595454 14193996 18127272 21290994 27190908 28387992 42581988 54381816 62690149 85163976 125380298 188070447 250760596 376140894 501521192 564211341 752281788 1128422682 1504563576 2256845364 4513690728