Search a number
-
+
3107795856 = 243111012577
BaseRepresentation
bin1011100100111101…
…0011001110010000
322000120212101110020
42321033103032100
522331043431411
61232214503440
7140004554214
oct27117231620
98016771406
103107795856
1113552a7030
12728964b80
133a6b27579
14216a66944
15132c88606
hexb93d3390

3107795856 has 120 divisors (see below), whose sum is σ = 8861239392. Its totient is φ = 930816000.

The previous prime is 3107795833. The next prime is 3107795861. The reversal of 3107795856 is 6585977013.

3107795856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3107795799 and 3107795808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5385840 + ... + 5386416.

Almost surely, 23107795856 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 3107795856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430619696).

3107795856 is an abundant number, since it is smaller than the sum of its proper divisors (5753443536).

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

3107795856 is a wasteful number, since it uses less digits than its factorization.

3107795856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 3107795856 is about 55747.6085226981. The cubic root of 3107795856 is about 1459.3209853109.

The spelling of 3107795856 in words is "three billion, one hundred seven million, seven hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 577 606 808 1111 1154 1212 1616 1731 2222 2308 2424 3333 3462 4444 4616 4848 6347 6666 6924 8888 9232 10201 12694 13332 13848 17776 19041 20402 25388 26664 27696 30603 38082 40804 50776 53328 58277 61206 76164 81608 101552 112211 116554 122412 152328 163216 174831 224422 233108 244824 304656 336633 349662 448844 466216 489648 641047 673266 699324 897688 932432 1282094 1346532 1398648 1795376 1923141 2564188 2693064 2797296 3846282 5128376 5386128 5885977 7692564 10256752 11771954 15385128 17657931 23543908 30770256 35315862 47087816 64745747 70631724 94175632 129491494 141263448 194237241 258982988 282526896 388474482 517965976 776948964 1035931952 1553897928 3107795856