Search a number
-
+
363828285 = 3258085073
BaseRepresentation
bin10101101011111…
…001010000111101
3221100121101120200
4111223321100331
51221120001120
6100034034113
712005326602
oct2553712075
9840541520
10363828285
1117740a637
12a1a18939
135a4b8412
143646a6a9
1521e1ae90
hex15af943d

363828285 has 12 divisors (see below), whose sum is σ = 630635772. Its totient is φ = 194041728.

The previous prime is 363828263. The next prime is 363828293. The reversal of 363828285 is 582828363.

363828285 is a `hidden beast` number, since 3 + 638 + 2 + 8 + 2 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 262342809 = 10074^2 + 16197^2 .

It is not a de Polignac number, because 363828285 - 25 = 363828253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 8085073 = 363828285 / (3 + 6 + 3 + 8 + 2 + 8 + 2 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 363828285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4042492 + ... + 4042581.

It is an arithmetic number, because the mean of its divisors is an integer number (52552981).

Almost surely, 2363828285 is an apocalyptic number.

It is an amenable number.

363828285 is a deficient number, since it is larger than the sum of its proper divisors (266807487).

363828285 is a wasteful number, since it uses less digits than its factorization.

363828285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085084 (or 8085081 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 363828285 is about 19074.2833417143. The cubic root of 363828285 is about 713.8914047585.

The spelling of 363828285 in words is "three hundred sixty-three million, eight hundred twenty-eight thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 8085073 24255219 40425365 72765657 121276095 363828285