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808992 = 2532532
BaseRepresentation
bin11000101100000100000
31112002201200
43011200200
5201341432
625201200
76606402
oct3054040
91462650
10808992
11502898
12330200
132242c2
14170b72
1510ea7c
hexc5820

808992 has 54 divisors (see below), whose sum is σ = 2344797. Its totient is φ = 264576.

The previous prime is 808991. The next prime is 808993. The reversal of 808992 is 299808.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (808991) and next prime (808993).

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 41616 = 876^2 + 204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=636.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 808992.

It is not an unprimeable number, because it can be changed into a prime (808991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15238 + ... + 15290.

2808992 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 808992

808992 is an abundant number, since it is smaller than the sum of its proper divisors (1535805).

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

808992 is a wasteful number, since it uses less digits than its factorization.

808992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 808992 is about 899.4398256693. The cubic root of 808992 is about 93.1782913453.

Multiplying 808992 by its product of nonzero digits (10368), we get a square (8387629056 = 915842).

The spelling of 808992 in words is "eight hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 2809 3816 5088 5618 7632 8427 11236 15264 16854 22472 25281 33708 44944 50562 67416 89888 101124 134832 202248 269664 404496 808992