Search a number
-
+
813381750 = 236534463
BaseRepresentation
bin110000011110110…
…011100001110110
32002200112002000000
4300132303201312
53131211204000
6212413332130
726104426236
oct6036634166
92080462000
10813381750
11388150825
121a8497046
13cc689a9c
147a04dcc6
154b61c000
hex307b3876

813381750 has 112 divisors (see below), whose sum is σ = 2283443136. Its totient is φ = 216853200.

The previous prime is 813381749. The next prime is 813381761. The reversal of 813381750 is 57183318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 180019 + ... + 184481.

Almost surely, 2813381750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813381750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141721568).

813381750 is an abundant number, since it is smaller than the sum of its proper divisors (1470061386).

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

813381750 is an equidigital number, since it uses as much as digits as its factorization.

813381750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 813381750 is about 28519.8483516305. The cubic root of 813381750 is about 933.4652201664.

The spelling of 813381750 in words is "eight hundred thirteen million, three hundred eighty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 729 750 810 1125 1215 1350 1458 2025 2250 2430 3375 3645 4050 4463 6075 6750 7290 8926 10125 12150 13389 18225 20250 22315 26778 30375 36450 40167 44630 60750 66945 80334 91125 111575 120501 133890 182250 200835 223150 241002 334725 361503 401670 557875 602505 669450 723006 1004175 1084509 1115750 1205010 1673625 1807515 2008350 2169018 3012525 3253527 3347250 3615030 5020875 5422545 6025050 6507054 9037575 10041750 10845090 15062625 16267635 18075150 27112725 30125250 32535270 45187875 54225450 81338175 90375750 135563625 162676350 271127250 406690875 813381750