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2000382792 = 2331747731429
BaseRepresentation
bin111011100111011…
…0110101101001000
312011102001222022120
41313032312231020
513044044222132
6530255051240
7100366654542
oct16716665510
95142058276
102000382792
11937189221
12479b10b20
1325b57c675
1414d958692
15ba93b02c
hex773b6b48

2000382792 has 128 divisors (see below), whose sum is σ = 5485708800. Its totient is φ = 605380608.

The previous prime is 2000382767. The next prime is 2000382799. The reversal of 2000382792 is 2972830002.

It is not an unprimeable number, because it can be changed into a prime (2000382799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399134 + ... + 1400562.

It is an arithmetic number, because the mean of its divisors is an integer number (42857100).

Almost surely, 22000382792 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 2000382792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742854400).

2000382792 is an abundant number, since it is smaller than the sum of its proper divisors (3485326008).

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

2000382792 is a wasteful number, since it uses less digits than its factorization.

2000382792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2000382792 is about 44725.6390899001. The cubic root of 2000382792 is about 1260.0014260503.

The spelling of 2000382792 in words is "two billion, three hundred eighty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 73 94 102 136 141 146 188 204 219 282 292 376 408 438 564 584 799 876 1128 1241 1429 1598 1752 2397 2482 2858 3196 3431 3723 4287 4794 4964 5716 6392 6862 7446 8574 9588 9928 10293 11432 13724 14892 17148 19176 20586 24293 27448 29784 34296 41172 48586 58327 67163 72879 82344 97172 104317 116654 134326 145758 174981 194344 201489 208634 233308 268652 291516 312951 349962 402978 417268 466616 537304 583032 625902 699924 805956 834536 1141771 1251804 1399848 1611912 1773389 2283542 2503608 3425313 3546778 4567084 4902899 5320167 6850626 7093556 9134168 9805798 10640334 13701252 14187112 14708697 19611596 21280668 27402504 29417394 39223192 42561336 58834788 83349283 117669576 166698566 250047849 333397132 500095698 666794264 1000191396 2000382792