Search a number
-
+
811831800 = 2335213293797
BaseRepresentation
bin110000011000111…
…001000111111000
32002120121022212110
4300120321013320
53130312104200
6212320212320
726055312363
oct6030710770
92076538773
10811831800
1138729227a
121a7a6a0a0
13cc266460
1479b690da
154b412b50
hex306391f8

811831800 has 384 divisors, whose sum is σ = 2909188800. Its totient is φ = 185794560.

The previous prime is 811831789. The next prime is 811831847. The reversal of 811831800 is 8138118.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8369352 + ... + 8369448.

Almost surely, 2811831800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811831800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454594400).

811831800 is an abundant number, since it is smaller than the sum of its proper divisors (2097357000).

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

811831800 is a wasteful number, since it uses less digits than its factorization.

811831800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 811831800 is about 28492.6622132787. The cubic root of 811831800 is about 932.8719176173.

Adding to 811831800 its reverse (8138118), we get a palindrome (819969918).

The spelling of 811831800 in words is "eight hundred eleven million, eight hundred thirty-one thousand, eight hundred".