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5215330304 = 213292757
BaseRepresentation
bin1001101101101101…
…11010000000000000
3111110110120020012122
410312312322000000
541140111032204
62221302343412
7243145401422
oct46666720000
914413506178
105215330304
112236a10938
12101672ab68
13651652982
14376914812
15207cdd0be
hex136dba000

5215330304 has 84 divisors (see below), whose sum is σ = 10816351494. Its totient is φ = 2514419712.

The previous prime is 5215330297. The next prime is 5215330331. The reversal of 5215330304 is 4030335125.

It can be written as a sum of positive squares in 3 ways, for example, as 4733440000 + 481890304 = 68800^2 + 21952^2 .

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 5 ways as a sum of consecutive naturals, for example, 6889094 + ... + 6889850.

Almost surely, 25215330304 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 5215330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408175747).

5215330304 is an abundant number, since it is smaller than the sum of its proper divisors (5601021190).

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

5215330304 is an frugal number, since it uses more digits than its factorization.

5215330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 5215330304 is about 72217.2438133719. The cubic root of 5215330304 is about 1734.1790670956.

Adding to 5215330304 its reverse (4030335125), we get a palindrome (9245665429).

The spelling of 5215330304 in words is "five billion, two hundred fifteen million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 757 841 928 1024 1514 1682 1856 2048 3028 3364 3712 4096 6056 6728 7424 8192 12112 13456 14848 21953 24224 26912 29696 43906 48448 53824 59392 87812 96896 107648 118784 175624 193792 215296 237568 351248 387584 430592 636637 702496 775168 861184 1273274 1404992 1550336 1722368 2546548 2809984 3100672 3444736 5093096 5619968 6201344 6889472 10186192 11239936 20372384 22479872 40744768 44959744 81489536 89919488 162979072 179838976 325958144 651916288 1303832576 2607665152 5215330304