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816485775 = 35273171867
BaseRepresentation
bin110000101010101…
…001010110001111
32002220100202220220
4300222221112033
53133010021100
6213004042423
726143005000
oct6052512617
92086322826
10816485775
11389980936
121a9533413
131002058a1
147a61b1a7
154ba31aa0
hex30aa958f

816485775 has 96 divisors (see below), whose sum is σ = 1667750400. Its totient is φ = 351106560.

The previous prime is 816485773. The next prime is 816485851. The reversal of 816485775 is 577584618.

It is a happy number.

816485775 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 816485775 - 21 = 816485773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816485773) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436392 + ... + 438258.

It is an arithmetic number, because the mean of its divisors is an integer number (17372400).

Almost surely, 2816485775 is an apocalyptic number.

816485775 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

816485775 is an abundant number, since it is smaller than the sum of its proper divisors (851264625).

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

816485775 is a wasteful number, since it uses less digits than its factorization.

816485775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1899 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 51.

The square root of 816485775 is about 28574.2152123204. The cubic root of 816485775 is about 934.6511419328.

It can be divided in two parts, 8164 and 85775, that added together give a palindrome (93939).

The spelling of 816485775 in words is "eight hundred sixteen million, four hundred eighty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 343 357 425 525 595 735 833 1029 1225 1275 1715 1785 1867 2499 2975 3675 4165 5145 5601 5831 8575 8925 9335 12495 13069 17493 20825 25725 28005 29155 31739 39207 46675 62475 65345 87465 91483 95217 140025 145775 158695 196035 222173 274449 326725 437325 457415 476085 640381 666519 793475 980175 1110865 1372245 1555211 1921143 2287075 2380425 3201905 3332595 4665633 5554325 6861225 7776055 9605715 10886477 16009525 16662975 23328165 32659431 38880275 48028575 54432385 116640825 163297155 272161925 816485775