Search a number
-
+
5284640608 = 251313196973
BaseRepresentation
bin1001110101111110…
…10011011101100000
3111122021222120001221
410322333103131200
541310331444413
62232220104424
7244646463322
oct47277233540
914567876057
105284640608
112272050785
121035995114
13662b0c5a0
14381bd7612
1520de2e68d
hex13afd3760

5284640608 has 48 divisors (see below), whose sum is σ = 11290100976. Its totient is φ = 2420421120.

The previous prime is 5284640579. The next prime is 5284640651. The reversal of 5284640608 is 8060464825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6010 + ... + 102982.

It is an arithmetic number, because the mean of its divisors is an integer number (235210437).

Almost surely, 25284640608 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 5284640608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645050488).

5284640608 is an abundant number, since it is smaller than the sum of its proper divisors (6005460368).

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

5284640608 is a wasteful number, since it uses less digits than its factorization.

5284640608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97127 (or 97119 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 5284640608 is about 72695.5336179603. The cubic root of 5284640608 is about 1741.8275386040.

The spelling of 5284640608 in words is "five billion, two hundred eighty-four million, six hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 416 524 1048 1703 2096 3406 4192 6812 13624 27248 54496 96973 193946 387892 775784 1260649 1551568 2521298 3103136 5042596 10085192 12703463 20170384 25406926 40340768 50813852 101627704 165145019 203255408 330290038 406510816 660580076 1321160152 2642320304 5284640608