Search a number
-
+
2989925280 = 2532514291453
BaseRepresentation
bin1011001000110110…
…1010001110100000
321201101001221102100
42302031222032200
522110410102110
61212404250400
7134043642216
oct26215521640
97641057370
102989925280
1112a480a131
126b53a0a00
13388597974
14205142cb6
15127753bc0
hexb236a3a0

2989925280 has 144 divisors (see below), whose sum is σ = 10217287080. Its totient is φ = 796207104.

The previous prime is 2989925251. The next prime is 2989925311. The reversal of 2989925280 is 825299892.

2989925280 is a `hidden beast` number, since 29 + 8 + 9 + 92 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2512415376 + 477509904 = 50124^2 + 21852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 2057034 + ... + 2058486.

Almost surely, 22989925280 is an apocalyptic number.

2989925280 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 2989925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108643540).

2989925280 is an abundant number, since it is smaller than the sum of its proper divisors (7227361800).

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

2989925280 is a wasteful number, since it uses less digits than its factorization.

2989925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2989925280 is about 54680.2092168638. The cubic root of 2989925280 is about 1440.6332862660.

The spelling of 2989925280 in words is "two billion, nine hundred eighty-nine million, nine hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1429 1440 1453 2858 2906 4287 4359 5716 5812 7145 7265 8574 8718 11432 11624 12861 13077 14290 14530 17148 17436 21435 21795 22864 23248 25722 26154 28580 29060 34296 34872 42870 43590 45728 46496 51444 52308 57160 58120 64305 65385 68592 69744 85740 87180 102888 104616 114320 116240 128610 130770 137184 139488 171480 174360 205776 209232 228640 232480 257220 261540 342960 348720 411552 418464 514440 523080 685920 697440 1028880 1046160 2057760 2076337 2092320 4152674 6229011 8305348 10381685 12458022 16610696 18687033 20763370 24916044 31145055 33221392 37374066 41526740 49832088 62290110 66442784 74748132 83053480 93435165 99664176 124580220 149496264 166106960 186870330 199328352 249160440 298992528 332213920 373740660 498320880 597985056 747481320 996641760 1494962640 2989925280