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816144285 = 351131379421
BaseRepresentation
bin110000101001010…
…101111110011101
32002212201102111010
4300221111332131
53132413104120
6212552445433
726140053255
oct6051257635
92085642433
10816144285
11389768310
121a93a9879
13100116318
147a56c965
154b9b57e0
hex30a55f9d

816144285 has 64 divisors (see below), whose sum is σ = 1477877760. Its totient is φ = 381024000.

The previous prime is 816144283. The next prime is 816144289. The reversal of 816144285 is 582441618.

It is not a de Polignac number, because 816144285 - 21 = 816144283 is a prime.

It is a super-2 number, since 2×8161442852 = 1332182987876322450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816144283) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1938375 + ... + 1938795.

It is an arithmetic number, because the mean of its divisors is an integer number (23091840).

Almost surely, 2816144285 is an apocalyptic number.

It is an amenable number.

816144285 is a deficient number, since it is larger than the sum of its proper divisors (661733475).

816144285 is a wasteful number, since it uses less digits than its factorization.

816144285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its digits is 61440, while the sum is 39.

The square root of 816144285 is about 28568.2390951910. The cubic root of 816144285 is about 934.5208197904.

The spelling of 816144285 in words is "eight hundred sixteen million, one hundred forty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 379 421 465 1023 1137 1263 1705 1895 2105 4169 4631 5115 5685 6315 11749 12507 13051 13893 20845 23155 35247 39153 58745 62535 65255 69465 129239 143561 159559 176235 195765 387717 430683 478677 646195 717805 797795 1755149 1938585 2153415 2393385 4946329 5265447 8775745 14838987 24731645 26327235 54409619 74194935 163228857 272048095 816144285