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2087275968 = 26323722647
BaseRepresentation
bin111110001101001…
…0100110111000000
312101110120121100100
41330122110313000
513233320312333
6543041322400
7102503360451
oct17432246700
95343517310
102087275968
11981238368
124a3036400
1327358444b
1415b2d7128
15c33a2213
hex7c694dc0

2087275968 has 126 divisors (see below), whose sum is σ = 6151190136. Its totient is φ = 676698624.

The previous prime is 2087275961. The next prime is 2087275987. The reversal of 2087275968 is 8695727802.

It is a happy number.

2087275968 is a `hidden beast` number, since 20 + 8 + 7 + 27 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087275961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 787221 + ... + 789867.

Almost surely, 22087275968 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 2087275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075595068).

2087275968 is an abundant number, since it is smaller than the sum of its proper divisors (4063914168).

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

2087275968 is a wasteful number, since it uses less digits than its factorization.

2087275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2087275968 is about 45686.7154433321. The cubic root of 2087275968 is about 1277.9875537886.

The spelling of 2087275968 in words is "two billion, eighty-seven million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1369 1776 2368 2647 2664 2738 3552 4107 5294 5328 5476 7104 7941 8214 10588 10656 10952 12321 15882 16428 21176 21312 21904 23823 24642 31764 32856 42352 43808 47646 49284 63528 65712 84704 87616 95292 97939 98568 127056 131424 169408 190584 195878 197136 254112 262848 293817 381168 391756 394272 508224 587634 762336 783512 788544 881451 1175268 1524672 1567024 1762902 2350536 3134048 3525804 3623743 4701072 6268096 7051608 7247486 9402144 10871229 14103216 14494972 18804288 21742458 28206432 28989944 32613687 43484916 56412864 57979888 65227374 86969832 115959776 130454748 173939664 231919552 260909496 347879328 521818992 695758656 1043637984 2087275968