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2860378272 = 2535735039
BaseRepresentation
bin1010101001111101…
…1110100010100000
321101100022021100000
42222133132202200
521324224101042
61151455500000
7130611546153
oct25237364240
97340267300
102860378272
111238677594
12679b27600
133677aa42b
141d1c5dc9a
1511b1b474c
hexaa7de8a0

2860378272 has 144 divisors (see below), whose sum is σ = 8552718720. Its totient is φ = 940211712.

The previous prime is 2860378229. The next prime is 2860378291. The reversal of 2860378272 is 2728730682.

2860378272 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 378 + 272 = 666.

2860378272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 565129 + ... + 570167.

It is an arithmetic number, because the mean of its divisors is an integer number (59393880).

Almost surely, 22860378272 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 2860378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276359360).

2860378272 is an abundant number, since it is smaller than the sum of its proper divisors (5692340448).

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

2860378272 is an equidigital number, since it uses as much as digits as its factorization.

2860378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2860378272 is about 53482.5043542278. The cubic root of 2860378272 is about 1419.5188265891.

The spelling of 2860378272 in words is "two billion, eight hundred sixty million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 972 1168 1296 1314 1752 1944 1971 2336 2592 2628 3504 3888 3942 5039 5256 5913 7008 7776 7884 10078 10512 11826 15117 15768 17739 20156 21024 23652 30234 31536 35478 40312 45351 47304 60468 63072 70956 80624 90702 94608 120936 136053 141912 161248 181404 189216 241872 272106 283824 362808 367847 408159 483744 544212 567648 725616 735694 816318 1088424 1103541 1224477 1451232 1471388 1632636 2176848 2207082 2448954 2942776 3265272 3310623 4353696 4414164 4897908 5885552 6530544 6621246 8828328 9795816 9931869 11771104 13061088 13242492 17656656 19591632 19863738 26484984 29795607 35313312 39183264 39727476 52969968 59591214 79454952 89386821 105939936 119182428 158909904 178773642 238364856 317819808 357547284 476729712 715094568 953459424 1430189136 2860378272