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806087412 = 2232132472819
BaseRepresentation
bin110000000010111…
…110101011110100
32002011210111001100
4300002332223310
53122324244122
6211553130100
725655426034
oct6002765364
92064714040
10806087412
11384019449
121a5b59930
13cb004900
14790b18c4
154ab7aaac
hex300beaf4

806087412 has 108 divisors (see below), whose sum is σ = 2254150080. Its totient is φ = 242663616.

The previous prime is 806087411. The next prime is 806087413. The reversal of 806087412 is 214780608.

806087412 is a `hidden beast` number, since 8 + 0 + 608 + 7 + 41 + 2 = 666.

806087412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (806087411) and next prime (806087413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806087411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284539 + ... + 287357.

It is an arithmetic number, because the mean of its divisors is an integer number (20871760).

Almost surely, 2806087412 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 806087412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127075040).

806087412 is an abundant number, since it is smaller than the sum of its proper divisors (1448062668).

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

806087412 is a wasteful number, since it uses less digits than its factorization.

806087412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 806087412 is about 28391.6785696091. The cubic root of 806087412 is about 930.6664248674. Note that the first 3 decimals are identical.

The spelling of 806087412 in words is "eight hundred six million, eighty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 169 188 234 282 338 423 468 507 564 611 676 846 1014 1222 1521 1692 1833 2028 2444 2819 3042 3666 5499 5638 6084 7332 7943 8457 10998 11276 15886 16914 21996 23829 25371 31772 33828 36647 47658 50742 71487 73294 95316 101484 109941 132493 142974 146588 219882 264986 285948 329823 397479 439764 476411 529972 659646 794958 952822 1192437 1319292 1429233 1589916 1722409 1905644 2384874 2858466 3444818 4287699 4769748 5167227 5716932 6889636 8575398 10334454 15501681 17150796 20668908 22391317 31003362 44782634 62006724 67173951 89565268 134347902 201521853 268695804 403043706 806087412