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2003872 = 25134817
BaseRepresentation
bin111101001001110100000
310202210210111
413221032200
51003110442
6110541104
723014123
oct7511640
93683714
102003872
1111495a2
12807794
13552130
143a23ba
15298b17
hex1e93a0

2003872 has 24 divisors (see below), whose sum is σ = 4249476. Its totient is φ = 924672.

The previous prime is 2003863. The next prime is 2003879. The reversal of 2003872 is 2783002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 355216 = 1284^2 + 596^2 .

It is not an unprimeable number, because it can be changed into a prime (2003879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1993 + ... + 2824.

22003872 is an apocalyptic number.

It is an amenable number.

2003872 is an abundant number, since it is smaller than the sum of its proper divisors (2245604).

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

2003872 is a wasteful number, since it uses less digits than its factorization.

2003872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2003872 is about 1415.5818591660. The cubic root of 2003872 is about 126.0733594809.

Adding to 2003872 its reverse (2783002), we get a palindrome (4786874).

It can be divided in two parts, 200 and 3872, that multiplied together give a square (774400 = 8802).

The spelling of 2003872 in words is "two million, three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 4817 9634 19268 38536 62621 77072 125242 154144 250484 500968 1001936 2003872