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2008468 = 227116521
BaseRepresentation
bin111101010010110010100
310210001002201
413222112110
51003232333
6111014244
723033410
oct7522624
93701081
102008468
111151aa0
1280a384
13554257
143a3d40
1529a17d
hex1ea594

2008468 has 24 divisors (see below), whose sum is σ = 4382784. Its totient is φ = 782400.

The previous prime is 2008441. The next prime is 2008469. The reversal of 2008468 is 8648002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008469) 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 7 ways as a sum of consecutive naturals, for example, 2953 + ... + 3568.

It is an arithmetic number, because the mean of its divisors is an integer number (182616).

22008468 is an apocalyptic number.

2008468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2008468 is an abundant number, since it is smaller than the sum of its proper divisors (2374316).

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

2008468 is a wasteful number, since it uses less digits than its factorization.

2008468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2008468 is about 1417.2042901431. The cubic root of 2008468 is about 126.1696714768.

It can be divided in two parts, 200 and 8468, that added together give a palindrome (8668).

The spelling of 2008468 in words is "two million, eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 6521 13042 26084 45647 71731 91294 143462 182588 286924 502117 1004234 2008468