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5323475808 = 253276594007
BaseRepresentation
bin1001111010100110…
…11100101101100000
3111202000001120221200
410331103130231200
541400302211213
62240124321200
7245630540430
oct47523345540
914660046850
105323475808
112291a66192
1210469a3200
1366ab88bb1
143870262c0
15212551273
hex13d4dcb60

5323475808 has 144 divisors (see below), whose sum is σ = 17331874560. Its totient is φ = 1518306048.

The previous prime is 5323475797. The next prime is 5323475813. The reversal of 5323475808 is 8085743235.

5323475808 is a `hidden beast` number, since 5 + 3 + 23 + 47 + 580 + 8 = 666.

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

It is a super-2 number, since 2×53234758082 = 56678789356722505728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326541 + ... + 1330547.

It is an arithmetic number, because the mean of its divisors is an integer number (120360240).

Almost surely, 25323475808 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 5323475808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665937280).

5323475808 is an abundant number, since it is smaller than the sum of its proper divisors (12008398752).

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

5323475808 is a wasteful number, since it uses less digits than its factorization.

5323475808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5323475808 is about 72962.1532576993. The cubic root of 5323475808 is about 1746.0838479196.

The spelling of 5323475808 in words is "five billion, three hundred twenty-three million, four hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 659 672 1008 1318 1977 2016 2636 3954 4007 4613 5272 5931 7908 8014 9226 10544 11862 12021 13839 15816 16028 18452 21088 23724 24042 27678 28049 31632 32056 36063 36904 41517 47448 48084 55356 56098 63264 64112 72126 73808 83034 84147 94896 96168 110712 112196 128224 144252 147616 166068 168294 189792 192336 221424 224392 252441 288504 332136 336588 384672 442848 448784 504882 577008 664272 673176 897568 1009764 1154016 1328544 1346352 2019528 2640613 2692704 4039056 5281226 7921839 8078112 10562452 15843678 18484291 21124904 23765517 31687356 36968582 42249808 47531034 55452873 63374712 73937164 84499616 95062068 110905746 126749424 147874328 166358619 190124136 221811492 253498848 295748656 332717238 380248272 443622984 591497312 665434476 760496544 887245968 1330868952 1774491936 2661737904 5323475808