Search a number
-
+
2489149200 = 2435212716333
BaseRepresentation
bin1001010001011101…
…0110011100010000
320102110202212210010
42110113112130100
520044210233300
61050555034520
7115453263516
oct22427263420
96373685703
102489149200
1110680726aa
1259573ba40
13308900565
141988284b6
15e87d5a50
hex945d6710

2489149200 has 120 divisors (see below), whose sum is σ = 8036850688. Its totient is φ = 658506240.

The previous prime is 2489149193. The next prime is 2489149219. The reversal of 2489149200 is 29419842.

It is a tau number, because it is divible by the number of its divisors (120).

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, 144234 + ... + 160566.

Almost surely, 22489149200 is an apocalyptic number.

2489149200 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 2489149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018425344).

2489149200 is an abundant number, since it is smaller than the sum of its proper divisors (5547701488).

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

2489149200 is a wasteful number, since it uses less digits than its factorization.

2489149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16481 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2489149200 is about 49891.3740039298. The cubic root of 2489149200 is about 1355.2423870701.

The spelling of 2489149200 in words is "two billion, four hundred eighty-nine million, one hundred forty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 1016 1200 1270 1524 1905 2032 2540 3048 3175 3810 5080 6096 6350 7620 9525 10160 12700 15240 16333 19050 25400 30480 32666 38100 48999 50800 65332 76200 81665 97998 130664 152400 163330 195996 244995 261328 326660 391992 408325 489990 653320 783984 816650 979980 1224975 1306640 1633300 1959960 2074291 2449950 3266600 3919920 4148582 4899900 6222873 6533200 8297164 9799800 10371455 12445746 16594328 19599600 20742910 24891492 31114365 33188656 41485820 49782984 51857275 62228730 82971640 99565968 103714550 124457460 155571825 165943280 207429100 248914920 311143650 414858200 497829840 622287300 829716400 1244574600 2489149200