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2833326240 = 25356778719
BaseRepresentation
bin1010100011100001…
…0010000010100000
321022110101212220220
42220320102002200
521300312414430
61145052003040
7130132606233
oct25070220240
97273355826
102833326240
11122437aa38
12670a60480
13361cc8204
141cc41b41a
15118b1e110
hexa8e120a0

2833326240 has 96 divisors (see below), whose sum is σ = 8939185920. Its totient is φ = 754351104.

The previous prime is 2833326229. The next prime is 2833326257. The reversal of 2833326240 is 426233382.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320601 + ... + 329319.

It is an arithmetic number, because the mean of its divisors is an integer number (93116520).

Almost surely, 22833326240 is an apocalyptic number.

2833326240 is a gapful number since it is divisible by the number (20) 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 2833326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469592960).

2833326240 is an abundant number, since it is smaller than the sum of its proper divisors (6105859680).

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

2833326240 is a wasteful number, since it uses less digits than its factorization.

2833326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2833326240 is about 53228.9981119314. The cubic root of 2833326240 is about 1415.0296106045.

The spelling of 2833326240 in words is "two billion, eight hundred thirty-three million, three hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 677 1354 2031 2708 3385 4062 5416 6770 8124 8719 10155 10832 13540 16248 17438 20310 21664 26157 27080 32496 34876 40620 43595 52314 54160 64992 69752 81240 87190 104628 108320 130785 139504 162480 174380 209256 261570 279008 324960 348760 418512 523140 697520 837024 1046280 1395040 2092560 4185120 5902763 11805526 17708289 23611052 29513815 35416578 47222104 59027630 70833156 88541445 94444208 118055260 141666312 177082890 188888416 236110520 283332624 354165780 472221040 566665248 708331560 944442080 1416663120 2833326240