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8087479904 = 257174349391
BaseRepresentation
bin1111000100000110…
…10010011001100000
3202212122000112202202
413202003102121200
5113030343324104
63414302432332
7404262305420
oct74203223140
922778015682
108087479904
113480198399
1216985926a8
139bb6c1c8a
1456a15a480
1532502a51e
hex1e20d2660

8087479904 has 96 divisors (see below), whose sum is σ = 19715705856. Its totient is φ = 3186247680.

The previous prime is 8087479849. The next prime is 8087479909. The reversal of 8087479904 is 4099747808.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 8087479904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8087479909) by changing a digit.

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, 139049 + ... + 188439.

It is an arithmetic number, because the mean of its divisors is an integer number (205371936).

Almost surely, 28087479904 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 8087479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857852928).

8087479904 is an abundant number, since it is smaller than the sum of its proper divisors (11628225952).

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

8087479904 is a wasteful number, since it uses less digits than its factorization.

8087479904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49468 (or 49460 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The square root of 8087479904 is about 89930.4170122657. The cubic root of 8087479904 is about 2007.2635802656.

The spelling of 8087479904 in words is "eight billion, eighty-seven million, four hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 68 86 112 119 136 172 224 238 272 301 344 476 544 602 688 731 952 1204 1376 1462 1904 2408 2924 3808 4816 5117 5848 9632 10234 11696 20468 23392 40936 49391 81872 98782 163744 197564 345737 395128 691474 790256 839647 1382948 1580512 1679294 2123813 2765896 3358588 4247626 5531792 5877529 6717176 8495252 11063584 11755058 13434352 14866691 16990504 23510116 26868704 29733382 33981008 36104821 47020232 59466764 67962016 72209642 94040464 118933528 144419284 188080928 237867056 252733747 288838568 475734112 505467494 577677136 1010934988 1155354272 2021869976 4043739952 8087479904