Search a number
-
+
5200057304 = 2313232313049
BaseRepresentation
bin1001101011111001…
…01001001111011000
3111102101211021120222
410311330221033120
541122203313204
62215555135212
7242601520631
oct46574511730
914371737528
105200057304
11222932a022
1210115a4508
1364b435cb0
1437489a888
152067c2abe
hex135f293d8

5200057304 has 96 divisors (see below), whose sum is σ = 11334288000. Its totient is φ = 2220894720.

The previous prime is 5200057283. The next prime is 5200057307. The reversal of 5200057304 is 4037500025.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200057307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703972 + ... + 1707020.

It is an arithmetic number, because the mean of its divisors is an integer number (118065500).

Almost surely, 25200057304 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 5200057304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667144000).

5200057304 is an abundant number, since it is smaller than the sum of its proper divisors (6134230696).

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

5200057304 is a wasteful number, since it uses less digits than its factorization.

5200057304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 5200057304 is about 72111.4228399357. The cubic root of 5200057304 is about 1732.4845746284.

Adding to 5200057304 its reverse (4037500025), we get a palindrome (9237557329).

The spelling of 5200057304 in words is "five billion, two hundred million, fifty-seven thousand, three hundred four".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 529 598 713 806 1058 1196 1426 1612 2116 2392 2852 3049 3224 4232 5704 6098 6877 9269 12196 13754 16399 18538 24392 27508 32798 37076 39637 55016 65596 70127 74152 79274 94519 131192 140254 158548 189038 213187 280508 317096 378076 426374 561016 756152 852748 911651 1228747 1612921 1705496 1823302 2173937 2457494 3225842 3646604 4347874 4914988 6451684 7293208 8695748 9829976 12903368 17391496 20967973 28261181 41935946 50000551 56522362 83871892 100001102 113044724 167743784 200002204 226089448 400004408 650007163 1300014326 2600028652 5200057304