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813875085 = 325173134319
BaseRepresentation
bin110000100000101…
…011111110001101
32002201110010201200
4300200223332031
53131323000320
6212432100113
726111552442
oct6040537615
92081403650
10813875085
11388458441
121a8694639
13cc8004ba
147a13b9c9
154b6b8290
hex3082bf8d

813875085 has 48 divisors (see below), whose sum is σ = 1541928960. Its totient is φ = 395343360.

The previous prime is 813875081. The next prime is 813875093. The reversal of 813875085 is 580578318.

It is a happy number.

813875085 is a `hidden beast` number, since 8 + 138 + 7 + 508 + 5 = 666.

813875085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 813875085 - 22 = 813875081 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 813875085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813875081) 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, 6556 + ... + 40874.

It is an arithmetic number, because the mean of its divisors is an integer number (32123520).

Almost surely, 2813875085 is an apocalyptic number.

813875085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

813875085 is a deficient number, since it is larger than the sum of its proper divisors (728053875).

813875085 is a wasteful number, since it uses less digits than its factorization.

813875085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34378 (or 34375 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 813875085 is about 28528.4960171405. The cubic root of 813875085 is about 933.6539048327.

The spelling of 813875085 in words is "eight hundred thirteen million, eight hundred seventy-five thousand, eighty-five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 255 279 465 527 765 1395 1581 2635 4743 7905 23715 34319 102957 171595 308871 514785 583423 1063889 1544355 1750269 2917115 3191667 5250807 5319445 8751345 9575001 15958335 18086113 26254035 47875005 54258339 90430565 162775017 271291695 813875085