Search a number
-
+
2873856768 = 2834997499
BaseRepresentation
bin1010101101001011…
…1001001100000000
321102021200001100120
42223102321030000
521341201404033
61153100420240
7131134244106
oct25322711400
97367601316
102873856768
111245243142
12682547680
1336a519383
141d396bc76
1511c4781b3
hexab4b9300

2873856768 has 72 divisors (see below), whose sum is σ = 7665000000. Its totient is φ = 955905024.

The previous prime is 2873856757. The next prime is 2873856803. The reversal of 2873856768 is 8676583782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379483 + ... + 386981.

Almost surely, 22873856768 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 2873856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832500000).

2873856768 is an abundant number, since it is smaller than the sum of its proper divisors (4791143232).

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

2873856768 is an equidigital number, since it uses as much as digits as its factorization.

2873856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8017 (or 8003 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The square root of 2873856768 is about 53608.3647204426. The cubic root of 2873856768 is about 1421.7449895911.

The spelling of 2873856768 in words is "two billion, eight hundred seventy-three million, eight hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 499 768 998 1497 1996 2994 3992 5988 7499 7984 11976 14998 15968 22497 23952 29996 31936 44994 47904 59992 63872 89988 95808 119984 127744 179976 191616 239968 359952 383232 479936 719904 959872 1439808 1919744 2879616 3742001 5759232 7484002 11226003 14968004 22452006 29936008 44904012 59872016 89808024 119744032 179616048 239488064 359232096 478976128 718464192 957952256 1436928384 2873856768