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899808 = 253713103
BaseRepresentation
bin11011011101011100000
31200201022020
43123223200
5212243213
631141440
710435230
oct3335340
91621266
10899808
11565048
12374880
13256740
14195cc0
1512b923
hexdbae0

899808 has 96 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 235008.

The previous prime is 899807. The next prime is 899831. The reversal of 899808 is 808998.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 899808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8685 + ... + 8787.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2899808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 899808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

899808 is an abundant number, since it is smaller than the sum of its proper divisors (2035488).

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

899808 is a wasteful number, since it uses less digits than its factorization.

899808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 899808 is about 948.5820997679. The cubic root of 899808 is about 96.5420722700.

The spelling of 899808 in words is "eight hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 103 104 112 156 168 182 206 208 224 273 309 312 336 364 412 416 546 618 624 672 721 728 824 1092 1236 1248 1339 1442 1456 1648 2163 2184 2472 2678 2884 2912 3296 4017 4326 4368 4944 5356 5768 8034 8652 8736 9373 9888 10712 11536 16068 17304 18746 21424 23072 28119 32136 34608 37492 42848 56238 64272 69216 74984 112476 128544 149968 224952 299936 449904 899808