Search a number
-
+
2889933216 = 253414011831
BaseRepresentation
bin1010110001000000…
…1110000110100000
321110101220211002120
42230100032012200
521404310330331
61154433144240
7131421012162
oct25420160640
97411824076
102889933216
111253323665
126879bb080
13370957971
141d5b54932
1511daa1796
hexac40e1a0

2889933216 has 96 divisors (see below), whose sum is σ = 7794734976. Its totient is φ = 936960000.

The previous prime is 2889933203. The next prime is 2889933401. The reversal of 2889933216 is 6123399882.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577421 + ... + 1579251.

It is an arithmetic number, because the mean of its divisors is an integer number (81195156).

Almost surely, 22889933216 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 2889933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897367488).

2889933216 is an abundant number, since it is smaller than the sum of its proper divisors (4904801760).

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

2889933216 is a wasteful number, since it uses less digits than its factorization.

2889933216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2278 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 2889933216 is about 53758.0990735350. The cubic root of 2889933216 is about 1424.3911573249.

The spelling of 2889933216 in words is "two billion, eight hundred eighty-nine million, nine hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 401 492 656 802 984 1203 1312 1604 1831 1968 2406 3208 3662 3936 4812 5493 6416 7324 9624 10986 12832 14648 16441 19248 21972 29296 32882 38496 43944 49323 58592 65764 75071 87888 98646 131528 150142 175776 197292 225213 263056 300284 394584 450426 526112 600568 734231 789168 900852 1201136 1468462 1578336 1801704 2202693 2402272 2936924 3603408 4405386 5873848 7206816 8810772 11747696 17621544 23495392 30103471 35243088 60206942 70486176 90310413 120413884 180620826 240827768 361241652 481655536 722483304 963311072 1444966608 2889933216