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800104608 = 25339071021
BaseRepresentation
bin101111101100001…
…010000010100000
32001202112112012000
4233230022002200
53114311321413
6211221004000
725553530332
oct5754120240
92052475160
10800104608
11380702486
121a3b53600
13c99bb6a4
1478395452
154a398073
hex2fb0a0a0

800104608 has 96 divisors (see below), whose sum is σ = 2338499520. Its totient is φ = 266146560.

The previous prime is 800104607. The next prime is 800104633. The reversal of 800104608 is 806401008.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (800104603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783138 + ... + 784158.

It is an arithmetic number, because the mean of its divisors is an integer number (24359370).

Almost surely, 2800104608 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 800104608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169249760).

800104608 is an abundant number, since it is smaller than the sum of its proper divisors (1538394912).

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

800104608 is a wasteful number, since it uses less digits than its factorization.

800104608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 800104608 is about 28286.1204126688. The cubic root of 800104608 is about 928.3582272361.

The spelling of 800104608 in words is "eight hundred million, one hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 907 1021 1814 2042 2721 3063 3628 4084 5442 6126 7256 8163 8168 9189 10884 12252 14512 16326 16336 18378 21768 24489 24504 27567 29024 32652 32672 36756 43536 48978 49008 55134 65304 73512 87072 97956 98016 110268 130608 147024 195912 220536 261216 294048 391824 441072 783648 882144 926047 1852094 2778141 3704188 5556282 7408376 8334423 11112564 14816752 16668846 22225128 25003269 29633504 33337692 44450256 50006538 66675384 88900512 100013076 133350768 200026152 266701536 400052304 800104608