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806787216 = 24362632
BaseRepresentation
bin110000000101101…
…001100010010000
32002020010001000000
4300011221202100
53123014142331
6212020130000
725664402214
oct6005514220
92066101000
10806787216
113844571a4
121a6236900
13cb1bb2b1
1479214944
154ac680e6
hex30169890

806787216 has 105 divisors (see below), whose sum is σ = 2352598339. Its totient is φ = 267906528.

The previous prime is 806787161. The next prime is 806787229. The reversal of 806787216 is 612787608.

The square root of 806787216 is 28404.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×8067872162 = 1301811223802061312, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3067501 + ... + 3067763.

Almost surely, 2806787216 is an apocalyptic number.

806787216 is the 28404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806787216

806787216 is an abundant number, since it is smaller than the sum of its proper divisors (1545811123).

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

806787216 is an frugal number, since it uses more digits than its factorization.

806787216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The cubic root of 806787216 is about 930.9356660181.

The spelling of 806787216 in words is "eight hundred six million, seven hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 263 324 432 486 526 648 729 789 972 1052 1296 1458 1578 1944 2104 2367 2916 3156 3888 4208 4734 5832 6312 7101 9468 11664 12624 14202 18936 21303 28404 37872 42606 56808 63909 69169 85212 113616 127818 138338 170424 191727 207507 255636 276676 340848 383454 415014 511272 553352 622521 766908 830028 1022544 1106704 1245042 1533816 1660056 1867563 2490084 3067632 3320112 3735126 4980168 5602689 7470252 9960336 11205378 14940504 16808067 22410756 29881008 33616134 44821512 50424201 67232268 89643024 100848402 134464536 201696804 268929072 403393608 806787216