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5122454304 = 2531113733533
BaseRepresentation
bin1001100010101001…
…00111001100100000
3111012222210122021210
410301110213030200
540442322014204
62204143550120
7240640100052
oct46124471440
914188718253
105122454304
112199545810
12bab5bb340
13638334966
143684598d2
151eea94389
hex131527320

5122454304 has 96 divisors (see below), whose sum is σ = 14683685184. Its totient is φ = 1550689280.

The previous prime is 5122454299. The next prime is 5122454317. The reversal of 5122454304 is 4034542215.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1448122 + ... + 1451654.

It is an arithmetic number, because the mean of its divisors is an integer number (152955054).

Almost surely, 25122454304 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 5122454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341842592).

5122454304 is an abundant number, since it is smaller than the sum of its proper divisors (9561230880).

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

5122454304 is a wasteful number, since it uses less digits than its factorization.

5122454304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5122454304 is about 71571.3231958164. The cubic root of 5122454304 is about 1723.8231058284.

Adding to 5122454304 its reverse (4034542215), we get a palindrome (9156996519).

The spelling of 5122454304 in words is "five billion, one hundred twenty-two million, four hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1373 2746 3533 4119 5492 7066 8238 10599 10984 14132 15103 16476 21198 21968 28264 30206 32952 38863 42396 43936 45309 56528 60412 65904 77726 84792 90618 113056 116589 120824 131808 155452 169584 181236 233178 241648 310904 339168 362472 466356 483296 621808 724944 932712 1243616 1449888 1865424 3730848 4850809 9701618 14552427 19403236 29104854 38806472 53358899 58209708 77612944 106717798 116419416 155225888 160076697 213435596 232838832 320153394 426871192 465677664 640306788 853742384 1280613576 1707484768 2561227152 5122454304