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813799350 = 23252721317167
BaseRepresentation
bin110000100000011…
…001011110110110
32002201022021211200
4300200121132312
53131313034400
6212430313330
726111115600
oct6040313666
92081267750
10813799350
11388406551
121a8658846
13cc7a4ba0
147a11c170
154b6a0b00
hex308197b6

813799350 has 432 divisors, whose sum is σ = 2917500768. Its totient is φ = 160634880.

The previous prime is 813799339. The next prime is 813799351. The reversal of 813799350 is 53997318.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 813799296 and 813799305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813799351) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4872967 + ... + 4873133.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2813799350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813799350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458750384).

813799350 is an abundant number, since it is smaller than the sum of its proper divisors (2103701418).

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

813799350 is a wasteful number, since it uses less digits than its factorization.

813799350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 813799350 is about 28527.1686292208. The cubic root of 813799350 is about 933.6249436021.

The spelling of 813799350 in words is "eight hundred thirteen million, seven hundred ninety-nine thousand, three hundred fifty".