Search a number
-
+
5103622304 = 2511292631901
BaseRepresentation
bin1001100000011001…
…10001100010100000
3111011200100212122022
410300030301202200
540423011403204
62202232201012
7240321034214
oct46014614240
914150325568
105103622304
112189952a80
12ba5239168
13634470071
14365b56944
151ed0c45be
hex1303318a0

5103622304 has 96 divisors (see below), whose sum is σ = 11388263040. Its totient is φ = 2230144000.

The previous prime is 5103622301. The next prime is 5103622331. The reversal of 5103622304 is 4032263015.

It is not an unprimeable number, because it can be changed into a prime (5103622301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2683754 + ... + 2685654.

It is an arithmetic number, because the mean of its divisors is an integer number (118627740).

Almost surely, 25103622304 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 5103622304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694131520).

5103622304 is an abundant number, since it is smaller than the sum of its proper divisors (6284640736).

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

5103622304 is a wasteful number, since it uses less digits than its factorization.

5103622304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 5103622304 is about 71439.6409845402. The cubic root of 5103622304 is about 1721.7080454675.

Adding to 5103622304 its reverse (4032263015), we get a palindrome (9135885319).

The spelling of 5103622304 in words is "five billion, one hundred three million, six hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 263 319 352 464 526 638 928 1052 1276 1901 2104 2552 2893 3802 4208 5104 5786 7604 7627 8416 10208 11572 15208 15254 20911 23144 30416 30508 41822 46288 55129 60832 61016 83644 83897 92576 110258 122032 167288 167794 220516 244064 334576 335588 441032 499963 606419 669152 671176 882064 999926 1212838 1342352 1764128 1999852 2425676 2684704 3999704 4851352 5499593 7999408 9702704 10999186 14498927 15998816 19405408 21998372 28997854 43996744 57995708 87993488 115991416 159488197 175986976 231982832 318976394 463965664 637952788 1275905576 2551811152 5103622304