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809980336 = 241119432131
BaseRepresentation
bin110000010001110…
…101000110110000
32002110010021010201
4300101311012300
53124323332321
6212212404544
726033501464
oct6021650660
92073107121
10809980336
11386238240
121a7316754
13cba68809
14798064a4
154b199291
hex304751b0

809980336 has 120 divisors (see below), whose sum is σ = 1859077440. Its totient is φ = 338083200.

The previous prime is 809980319. The next prime is 809980337. The reversal of 809980336 is 633089908.

It is not an unprimeable number, because it can be changed into a prime (809980337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6182991 + ... + 6183121.

It is an arithmetic number, because the mean of its divisors is an integer number (15492312).

Almost surely, 2809980336 is an apocalyptic number.

809980336 is a gapful number since it is divisible by the number (86) 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 809980336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929538720).

809980336 is an abundant number, since it is smaller than the sum of its proper divisors (1049097104).

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

809980336 is a wasteful number, since it uses less digits than its factorization.

809980336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 809980336 is about 28460.1534781526. The cubic root of 809980336 is about 932.1622084387.

The spelling of 809980336 in words is "eight hundred nine million, nine hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 43 44 76 86 88 131 152 172 176 209 262 304 344 418 473 524 688 817 836 946 1048 1441 1634 1672 1849 1892 2096 2489 2882 3268 3344 3698 3784 4978 5633 5764 6536 7396 7568 8987 9956 11266 11528 13072 14792 17974 19912 20339 22532 23056 27379 29584 35131 35948 39824 40678 45064 54758 61963 70262 71896 81356 90128 107027 109516 123926 140524 143792 162712 214054 219032 242219 247852 281048 325424 386441 428108 438064 484438 495704 562096 772882 856216 968876 991408 1177297 1545764 1712432 1937752 2354594 2664409 3091528 3875504 4602161 4709188 5328818 6183056 9204322 9418376 10657636 18408644 18836752 21315272 36817288 42630544 50623771 73634576 101247542 202495084 404990168 809980336