Search a number
-
+
2007489384 = 2332193474229
BaseRepresentation
bin111011110100111…
…1101101101101000
312011220110000201200
41313221331231220
513102404130014
6531111244200
7100514243505
oct16751755550
95156400650
102007489384
119401a253a
12480379660
1325cb9a254
141508884ac
15bb391a09
hex77a7db68

2007489384 has 96 divisors (see below), whose sum is σ = 5740956000. Its totient is φ = 631967616.

The previous prime is 2007489317. The next prime is 2007489391. The reversal of 2007489384 is 4839847002.

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, 472582 + ... + 476810.

It is an arithmetic number, because the mean of its divisors is an integer number (59801625).

Almost surely, 22007489384 is an apocalyptic number.

2007489384 is a gapful number since it is divisible by the number (24) 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 2007489384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870478000).

2007489384 is an abundant number, since it is smaller than the sum of its proper divisors (3733466616).

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

2007489384 is a wasteful number, since it uses less digits than its factorization.

2007489384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2007489384 is about 44805.0151657155. The cubic root of 2007489384 is about 1261.4917630031.

The spelling of 2007489384 in words is "two billion, seven million, four hundred eighty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 347 456 684 694 1041 1368 1388 2082 2776 3123 4164 4229 6246 6593 8328 8458 12492 12687 13186 16916 19779 24984 25374 26372 33832 38061 39558 50748 52744 59337 76122 79116 80351 101496 118674 152244 158232 160702 237348 241053 304488 321404 474696 482106 642808 723159 964212 1446318 1467463 1928424 2892636 2934926 4402389 5785272 5869852 8804778 11739704 13207167 17609556 26414334 27881797 35219112 52828668 55763594 83645391 105657336 111527188 167290782 223054376 250936173 334581564 501872346 669163128 1003744692 2007489384