Search a number
-
+
5700308592 = 24311233671279
BaseRepresentation
bin1010100111100001…
…11100111001110000
3112201021010200100110
411103300330321300
543133234333332
62341345221320
7261154552326
oct52360747160
915637120313
105700308592
112465748240
121131031840
136cac78584
143c10b9d16
1523568a4cc
hex153c3ce70

5700308592 has 160 divisors (see below), whose sum is σ = 16821780480. Its totient is φ = 1646472960.

The previous prime is 5700308591. The next prime is 5700308651. The reversal of 5700308592 is 2958030075.

It is a self number, because there is not a number n which added to its sum of digits gives 5700308592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700308591) 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 31 ways as a sum of consecutive naturals, for example, 4456209 + ... + 4457487.

It is an arithmetic number, because the mean of its divisors is an integer number (105136128).

Almost surely, 25700308592 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 5700308592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410890240).

5700308592 is an abundant number, since it is smaller than the sum of its proper divisors (11121471888).

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

5700308592 is a wasteful number, since it uses less digits than its factorization.

5700308592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5700308592 is about 75500.3880254930. The cubic root of 5700308592 is about 1786.3482235487.

The spelling of 5700308592 in words is "five billion, seven hundred million, three hundred eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 367 368 506 528 552 734 759 1012 1101 1104 1279 1468 1518 2024 2202 2558 2936 3036 3837 4037 4048 4404 5116 5872 6072 7674 8074 8441 8808 10232 12111 12144 14069 15348 16148 16882 17616 20464 24222 25323 28138 29417 30696 32296 33764 42207 48444 50646 56276 58834 61392 64592 67528 84414 88251 92851 96888 101292 112552 117668 135056 168828 176502 185702 193776 202584 225104 235336 278553 323587 337656 353004 371404 405168 469393 470672 557106 647174 675312 706008 742808 938786 970761 1114212 1294348 1408179 1412016 1485616 1877572 1941522 2228424 2588696 2816358 3755144 3883044 4456848 5163323 5177392 5632716 7510288 7766088 10326646 10796039 11265432 15489969 15532176 20653292 21592078 22530864 30979938 32388117 41306584 43184156 61959876 64776234 82613168 86368312 118756429 123919752 129552468 172736624 237512858 247839504 259104936 356269287 475025716 518209872 712538574 950051432 1425077148 1900102864 2850154296 5700308592