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2009648 = 242343127
BaseRepresentation
bin111101010101000110000
310210002201102
413222220300
51003302043
6111023532
723040014
oct7525060
93702642
102009648
111152973
1280aba8
13554954
143a4544
1529a6b8
hex1eaa30

2009648 has 40 divisors (see below), whose sum is σ = 4190208. Its totient is φ = 931392.

The previous prime is 2009647. The next prime is 2009669. The reversal of 2009648 is 8469002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009648.

It is not an unprimeable number, because it can be changed into a prime (2009647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15761 + ... + 15887.

22009648 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 2009648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095104).

2009648 is an abundant number, since it is smaller than the sum of its proper divisors (2180560).

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

2009648 is a wasteful number, since it uses less digits than its factorization.

2009648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2009648 is about 1417.6205416119. The cubic root of 2009648 is about 126.1943753913.

The spelling of 2009648 in words is "two million, nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 43 46 86 92 127 172 184 254 344 368 508 688 989 1016 1978 2032 2921 3956 5461 5842 7912 10922 11684 15824 21844 23368 43688 46736 87376 125603 251206 502412 1004824 2009648