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5266259728 = 241723730781
BaseRepresentation
bin1001110011110010…
…01011111100010000
3111121000101201020121
410321321023330100
541241130302403
62230322120024
7244334316622
oct47171137420
914530351217
105266259728
112262736974
12102b7b0014
1365c075122
1437d5b0c12
1520c4ed3bd
hex139e4bf10

5266259728 has 60 divisors (see below), whose sum is σ = 11132187172. Its totient is φ = 2411182080.

The previous prime is 5266259717. The next prime is 5266259729. The reversal of 5266259728 is 8279526625.

It can be written as a sum of positive squares in 6 ways, for example, as 690007824 + 4576251904 = 26268^2 + 67648^2 .

It is not an unprimeable number, because it can be changed into a prime (5266259729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155698 + ... + 186478.

Almost surely, 25266259728 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 5266259728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566093586).

5266259728 is an abundant number, since it is smaller than the sum of its proper divisors (5865927444).

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

5266259728 is a wasteful number, since it uses less digits than its factorization.

5266259728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30860 (or 30837 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 5266259728 is about 72568.9997726302. Note that the first 3 decimals coincide. The cubic root of 5266259728 is about 1739.8057351269.

The spelling of 5266259728 in words is "five billion, two hundred sixty-six million, two hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 578 592 629 1156 1258 2312 2516 4624 5032 10064 10693 21386 30781 42772 61562 85544 123124 171088 246248 492496 523277 1046554 1138897 2093108 2277794 4186216 4555588 8372432 8895709 9111176 17791418 18222352 19361249 35582836 38722498 71165672 77444996 142331344 154889992 309779984 329141233 658282466 1316564932 2633129864 5266259728