Search a number
-
+
3275675856 = 243373241431
BaseRepresentation
bin1100001100111110…
…1101100011010000
322110021202120112000
43003033231203100
523202033111411
61301013034000
7144113533245
oct30317554320
98407676460
103275675856
111431040832
12775025900
1340284694b
142310875cc
1514289a956
hexc33ed8d0

3275675856 has 160 divisors (see below), whose sum is σ = 9592957440. Its totient is φ = 1069977600.

The previous prime is 3275675849. The next prime is 3275675861. The reversal of 3275675856 is 6585765723.

3275675856 is a `hidden beast` number, since 3 + 2 + 7 + 56 + 7 + 585 + 6 = 666.

3275675856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10584000) is a multiple of the sum of its prime divisors (750).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7599961 + ... + 7600391.

It is an arithmetic number, because the mean of its divisors is an integer number (59955984).

Almost surely, 23275675856 is an apocalyptic number.

3275675856 is a gapful number since it is divisible by the number (36) 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 3275675856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796478720).

3275675856 is an abundant number, since it is smaller than the sum of its proper divisors (6317281584).

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

3275675856 is a wasteful number, since it uses less digits than its factorization.

3275675856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 3275675856 is about 57233.5203879684. The cubic root of 3275675856 is about 1485.1385566054.

The spelling of 3275675856 in words is "three billion, two hundred seventy-five million, six hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 241 292 431 432 438 482 584 657 723 862 876 964 1168 1293 1314 1446 1724 1752 1928 1971 2169 2586 2628 2892 3448 3504 3856 3879 3942 4338 5172 5256 5784 6507 6896 7758 7884 8676 10344 10512 11568 11637 13014 15516 15768 17352 17593 20688 23274 26028 31032 31463 31536 34704 35186 46548 52056 52779 62064 62926 70372 93096 94389 103871 104112 105558 125852 140744 158337 186192 188778 207742 211116 251704 281488 283167 311613 316674 377556 415484 422232 475011 503408 566334 623226 633348 755112 830968 844464 849501 934839 950022 1132668 1246452 1266696 1510224 1661936 1699002 1869678 1900044 2265336 2492904 2533392 2804517 3398004 3739356 3800088 4530672 4985808 5609034 6796008 7478712 7582583 7600176 11218068 13592016 14957424 15165166 22436136 22747749 30330332 44872272 45495498 60660664 68243247 90990996 121321328 136486494 181981992 204729741 272972988 363963984 409459482 545945976 818918964 1091891952 1637837928 3275675856