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2896135788 = 22372132231699
BaseRepresentation
bin1010110010011111…
…1000011001101100
321110211120221102110
42230213320121230
521412402321123
61155214124020
7131524514400
oct25447703154
97424527373
102896135788
11125687a757
12689ab0610
13372019c20
141d68cb100
1511e3c9493
hexac9f866c

2896135788 has 144 divisors (see below), whose sum is σ = 8508595200. Its totient is φ = 759943296.

The previous prime is 2896135771. The next prime is 2896135811. The reversal of 2896135788 is 8875316982.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703763 + ... + 1705461.

Almost surely, 22896135788 is an apocalyptic number.

2896135788 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 2896135788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254297600).

2896135788 is an abundant number, since it is smaller than the sum of its proper divisors (5612459412).

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

2896135788 is a wasteful number, since it uses less digits than its factorization.

2896135788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1947 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 2896135788 is about 53815.7578038255. The cubic root of 2896135788 is about 1425.4094710015.

The spelling of 2896135788 in words is "two billion, eight hundred ninety-six million, one hundred thirty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 223 273 294 364 446 546 588 637 669 892 1092 1274 1338 1561 1699 1911 2548 2676 2899 3122 3398 3822 4683 5097 5798 6244 6796 7644 8697 9366 10194 10927 11596 11893 17394 18732 20293 20388 21854 22087 23786 32781 34788 35679 40586 43708 44174 47572 60879 65562 66261 71358 81172 83251 88348 121758 131124 132522 142051 142716 154609 166502 243516 249753 265044 284102 309218 333004 378877 426153 463827 499506 568204 618436 757754 852306 927654 999012 1082263 1136631 1515508 1704612 1855308 2164526 2273262 2652139 3246789 4329052 4546524 4925401 5304278 6493578 7956417 9850802 10608556 12987156 14776203 15912834 18564973 19701604 29552406 31825668 34477807 37129946 55694919 59104812 68955614 74259892 103433421 111389838 137911228 206866842 222779676 241344649 413733684 482689298 724033947 965378596 1448067894 2896135788