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809855040 = 26355231613
BaseRepresentation
bin110000010001010…
…110100001000000
32002102212220021010
4300101112201000
53124310330130
6212210000520
726032440261
oct6021264100
92072786233
10809855040
11386162095
121a7276140
13cba23787
14797b2968
154b1720b0
hex30456840

809855040 has 112 divisors (see below), whose sum is σ = 2577803328. Its totient is φ = 215414784.

The previous prime is 809855021. The next prime is 809855041. The reversal of 809855040 is 40558908.

It is a self number, because there is not a number n which added to its sum of digits gives 809855040.

It is not an unprimeable number, because it can be changed into a prime (809855041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501274 + ... + 502886.

Almost surely, 2809855040 is an apocalyptic number.

809855040 is a gapful number since it is divisible by the number (80) 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 809855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288901664).

809855040 is an abundant number, since it is smaller than the sum of its proper divisors (1767948288).

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

809855040 is a wasteful number, since it uses less digits than its factorization.

809855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 809855040 is about 28457.9521399555. The cubic root of 809855040 is about 932.1141405150.

The spelling of 809855040 in words is "eight hundred nine million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 523 960 1046 1569 1613 2092 2615 3138 3226 4184 4839 5230 6276 6452 7845 8065 8368 9678 10460 12552 12904 15690 16130 16736 19356 20920 24195 25104 25808 31380 32260 33472 38712 41840 48390 50208 51616 62760 64520 77424 83680 96780 100416 103232 125520 129040 154848 167360 193560 251040 258080 309696 387120 502080 516160 774240 843599 1548480 1687198 2530797 3374396 4217995 5061594 6748792 8435990 10123188 12653985 13497584 16871980 20246376 25307970 26995168 33743960 40492752 50615940 53990336 67487920 80985504 101231880 134975840 161971008 202463760 269951680 404927520 809855040