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2860352768 = 28713199617
BaseRepresentation
bin1010101001111101…
…1000010100000000
321101100020222100102
42222133120110000
521324222242033
61151455141532
7130611411620
oct25237302400
97340228312
102860352768
11123865a409
12679b148a8
1336779b940
141d1c54880
1511b1abde8
hexaa7d8500

2860352768 has 144 divisors (see below), whose sum is σ = 7073875200. Its totient is φ = 1124057088.

The previous prime is 2860352753. The next prime is 2860352773. The reversal of 2860352768 is 8672530682.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4635596 + ... + 4636212.

Almost surely, 22860352768 is an apocalyptic number.

2860352768 is a gapful number since it is divisible by the number (28) 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 2860352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536937600).

2860352768 is an abundant number, since it is smaller than the sum of its proper divisors (4213522432).

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

2860352768 is a wasteful number, since it uses less digits than its factorization.

2860352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2860352768 is about 53482.2659205834. The cubic root of 2860352768 is about 1419.5146076231.

The spelling of 2860352768 in words is "two billion, eight hundred sixty million, three hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 199 208 224 256 364 398 416 448 617 728 796 832 896 1234 1393 1456 1592 1664 1792 2468 2587 2786 2912 3184 3328 4319 4936 5174 5572 5824 6368 8021 8638 9872 10348 11144 11648 12736 16042 17276 18109 19744 20696 22288 23296 25472 32084 34552 36218 39488 41392 44576 50944 56147 64168 69104 72436 78976 82784 89152 112294 122783 128336 138208 144872 157952 165568 178304 224588 245566 256672 276416 289744 331136 356608 449176 491132 513344 552832 579488 662272 859481 898352 982264 1026688 1105664 1158976 1596179 1718962 1796704 1964528 2053376 2317952 3192358 3437924 3593408 3929056 4635904 6384716 6875848 7186816 7858112 11173253 12769432 13751696 14373632 15716224 22346506 25538864 27503392 31432448 44693012 51077728 55006784 89386024 102155456 110013568 178772048 204310912 220027136 357544096 408621824 715088192 1430176384 2860352768