Search a number
-
+
813844650 = 235223419563
BaseRepresentation
bin110000100000100…
…100100010101010
32002201101120222110
4300200210202222
53131321012100
6212431303150
726111364633
oct6040444252
92081346873
10813844650
11388437593
121a867aab6
13cc7bc6a8
147a13088a
154b6ae250
hex308248aa

813844650 has 96 divisors (see below), whose sum is σ = 2114864640. Its totient is φ = 206726080.

The previous prime is 813844639. The next prime is 813844657. The reversal of 813844650 is 56448318.

It is a super-2 number, since 2×8138446502 = 1324686228667245000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813844599 and 813844608.

It is not an unprimeable number, because it can be changed into a prime (813844657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445269 + ... + 1445831.

It is an arithmetic number, because the mean of its divisors is an integer number (22029840).

Almost surely, 2813844650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813844650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057432320).

813844650 is an abundant number, since it is smaller than the sum of its proper divisors (1301019990).

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

813844650 is a wasteful number, since it uses less digits than its factorization.

813844650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 813844650 is about 28527.9625981247. The cubic root of 813844650 is about 933.6422666377.

The spelling of 813844650 in words is "eight hundred thirteen million, eight hundred forty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 419 563 575 690 838 1126 1150 1257 1689 1725 2095 2514 2815 3378 3450 4190 5630 6285 8445 9637 10475 12570 12949 14075 16890 19274 20950 25898 28150 28911 31425 38847 42225 48185 57822 62850 64745 77694 84450 96370 129490 144555 194235 235897 240925 289110 323725 388470 471794 481850 647450 707691 722775 971175 1179485 1415382 1445550 1942350 2358970 3538455 5425631 5897425 7076910 10851262 11794850 16276893 17692275 27128155 32553786 35384550 54256310 81384465 135640775 162768930 271281550 406922325 813844650