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2008804 = 227237277
BaseRepresentation
bin111101010011011100100
310210001120011
413222123210
51003240204
6111020004
723034400
oct7523344
93701504
102008804
111152276
1280a604
13554455
143a4100
1529a304
hex1ea6e4

2008804 has 36 divisors (see below), whose sum is σ = 4215036. Its totient is φ = 834624.

The previous prime is 2008793. The next prime is 2008807. The reversal of 2008804 is 4088002.

2008804 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 906304 = 1050^2 + 952^2 .

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2008807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7114 + ... + 7390.

22008804 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 2008804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107518).

2008804 is an abundant number, since it is smaller than the sum of its proper divisors (2206232).

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

2008804 is a wasteful number, since it uses less digits than its factorization.

2008804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2008804 is about 1417.3228284339. The cubic root of 2008804 is about 126.1767067969.

The spelling of 2008804 in words is "two million, eight thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 277 518 554 1036 1108 1813 1939 3626 3878 7252 7756 10249 13573 20498 27146 40996 54292 71743 143486 286972 502201 1004402 2008804