Search a number
-
+
5608616728 = 2311136617417
BaseRepresentation
bin1010011100100110…
…01011001100011000
3112110212121020202111
411032103023030120
542441301213403
62324312042104
7255662312161
oct51623131430
915425536674
105608616728
112418a10840
121106393334
136b4c83530
143b2c4c768
1522c5c756d
hex14e4cb318

5608616728 has 64 divisors (see below), whose sum is σ = 12375004320. Its totient is φ = 2349388800.

The previous prime is 5608616711. The next prime is 5608616729. The reversal of 5608616728 is 8276168065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608616729) 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, 752476 + ... + 759892.

Almost surely, 25608616728 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 5608616728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187502160).

5608616728 is an abundant number, since it is smaller than the sum of its proper divisors (6766387592).

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

5608616728 is a wasteful number, since it uses less digits than its factorization.

5608616728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 5608616728 is about 74890.6985412741. The cubic root of 5608616728 is about 1776.7183494984.

The spelling of 5608616728 in words is "five billion, six hundred eight million, six hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 661 1144 1322 2644 5288 7271 7417 8593 14542 14834 17186 29084 29668 34372 58168 59336 68744 81587 94523 96421 163174 189046 192842 326348 378092 385684 652696 756184 771368 1060631 2121262 4242524 4902637 8485048 9805274 19610548 39221096 53929007 63734281 107858014 127468562 215716028 254937124 431432056 509874248 701077091 1402154182 2804308364 5608616728