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820490895 = 32572604733
BaseRepresentation
bin110000111001111…
…011001010001111
32010011220020220200
4300321323022033
53140021202040
6213225544543
726222025510
oct6071731217
92104806820
10820490895
11391166a54
121aa945153
13100ca8893
147ad80a07
154c073630
hex30e7b28f

820490895 has 24 divisors (see below), whose sum is σ = 1625354016. Its totient is φ = 375081408.

The previous prime is 820490887. The next prime is 820490899. The reversal of 820490895 is 598094028.

820490895 is a `hidden beast` number, since 82 + 0 + 490 + 89 + 5 = 666.

It is not a de Polignac number, because 820490895 - 23 = 820490887 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 820490895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820490899) 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 23 ways as a sum of consecutive naturals, for example, 1302052 + ... + 1302681.

It is an arithmetic number, because the mean of its divisors is an integer number (67723084).

Almost surely, 2820490895 is an apocalyptic number.

820490895 is a deficient number, since it is larger than the sum of its proper divisors (804863121).

820490895 is a wasteful number, since it uses less digits than its factorization.

820490895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604751 (or 2604748 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 820490895 is about 28644.2122426154. The cubic root of 820490895 is about 936.1769026527.

It can be divided in two parts, 8204 and 90895, that added together give a palindrome (99099).

The spelling of 820490895 in words is "eight hundred twenty million, four hundred ninety thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 2604733 7814199 13023665 18233131 23442597 39070995 54699393 91165655 117212985 164098179 273496965 820490895