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5288648872 = 2313374493061
BaseRepresentation
bin1001110110011101…
…00110000010101000
3111122120112012101011
410323032212002220
541312343230442
62232442033304
7245025526243
oct47316460250
914576465334
105288648872
1122743391a1
1210371a8834
136638b3b40
1438255c25a
1520e472117
hex13b3a60a8

5288648872 has 64 divisors (see below), whose sum is σ = 10995642000. Its totient is φ = 2368880640.

The previous prime is 5288648867. The next prime is 5288648873. The reversal of 5288648872 is 2788468825.

It can be written as a sum of positive squares in 8 ways, for example, as 4436359236 + 852289636 = 66606^2 + 29194^2 .

It is not an unprimeable number, because it can be changed into a prime (5288648873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726222 + ... + 1729282.

Almost surely, 25288648872 is an apocalyptic number.

5288648872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5288648872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497821000).

5288648872 is an abundant number, since it is smaller than the sum of its proper divisors (5706993128).

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

5288648872 is a wasteful number, since it uses less digits than its factorization.

5288648872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 58.

The square root of 5288648872 is about 72723.0972387728. The cubic root of 5288648872 is about 1742.2678044442.

The spelling of 5288648872 in words is "five billion, two hundred eighty-eight million, six hundred forty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 449 481 898 962 1796 1924 3061 3592 3848 5837 6122 11674 12244 16613 23348 24488 33226 39793 46696 66452 79586 113257 132904 159172 215969 226514 318344 431938 453028 863876 906056 1374389 1472341 1727752 2748778 2944682 5497556 5889364 10995112 11778728 17867057 35734114 50852393 71468228 101704786 142936456 203409572 406819144 661081109 1322162218 2644324436 5288648872