Search a number
-
+
820865485 = 511172431201
BaseRepresentation
bin110000111011010…
…110100111001101
32010012121021202101
4300323112213031
53140120143420
6213241555101
726225145556
oct6073264715
92105537671
10820865485
113913a2430
121aaaa5a91
131010aa22b
147b03b32d
154c0e960a
hex30ed69cd

820865485 has 48 divisors (see below), whose sum is σ = 1169036352. Its totient is φ = 548352000.

The previous prime is 820865483. The next prime is 820865491. The reversal of 820865485 is 584568028.

It is not a de Polignac number, because 820865485 - 21 = 820865483 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820865483) 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 47 ways as a sum of consecutive naturals, for example, 682885 + ... + 684085.

It is an arithmetic number, because the mean of its divisors is an integer number (24354924).

Almost surely, 2820865485 is an apocalyptic number.

820865485 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820865485 is a deficient number, since it is larger than the sum of its proper divisors (348170867).

820865485 is a wasteful number, since it uses less digits than its factorization.

820865485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The square root of 820865485 is about 28650.7501646990. The cubic root of 820865485 is about 936.3193495522.

It can be divided in two parts, 82086 and 5485, that added together give a triangular number (87571 = T418).

The spelling of 820865485 in words is "eight hundred twenty million, eight hundred sixty-five thousand, four hundred eighty-five".

Divisors: 1 5 11 17 43 55 85 187 215 289 473 731 935 1201 1445 2365 3179 3655 6005 8041 12427 13211 15895 20417 40205 51643 62135 66055 102085 136697 224587 258215 347089 568073 683485 877931 1122935 1735445 2840365 3817979 4389655 9657241 14924827 19089895 48286205 74624135 164173097 820865485