Search a number
-
+
5345427584 = 2779376367
BaseRepresentation
bin1001111101001110…
…01100000010000000
3111210112100212010102
410332213030002000
541421412140314
62242231021532
7246315245660
oct47647140200
914715325112
105345427584
1122a3399952
12105220a8a8
136725a3803
14389cdc1a0
1521443a5de
hex13e9cc080

5345427584 has 64 divisors (see below), whose sum is σ = 12185295360. Its totient is φ = 2288093184.

The previous prime is 5345427583. The next prime is 5345427601. The reversal of 5345427584 is 4857245435.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5345427583) 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 7 ways as a sum of consecutive naturals, for example, 836369 + ... + 842735.

It is an arithmetic number, because the mean of its divisors is an integer number (190395240).

Almost surely, 25345427584 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 5345427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092647680).

5345427584 is an abundant number, since it is smaller than the sum of its proper divisors (6839867776).

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

5345427584 is an equidigital number, since it uses as much as digits as its factorization.

5345427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325 (or 7313 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 47.

The square root of 5345427584 is about 73112.4311181074. The cubic root of 5345427584 is about 1748.4805950915.

The spelling of 5345427584 in words is "five billion, three hundred forty-five million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 937 1874 3748 6367 6559 7496 12734 13118 14992 25468 26236 29984 44569 50936 52472 59968 89138 101872 104944 119936 178276 203744 209888 356552 407488 419776 713104 814976 839552 1426208 2852416 5704832 5965879 11931758 23863516 41761153 47727032 83522306 95454064 167044612 190908128 334089224 381816256 668178448 763632512 1336356896 2672713792 5345427584