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2484032 = 26371049
BaseRepresentation
bin1001011110011101000000
311200012110012
421132131000
51113442112
6125124052
730054035
oct11363500
94605405
102484032
111447321
129b9628
1368c855
1448938c
15341022
hex25e740

2484032 has 28 divisors (see below), whose sum is σ = 5067300. Its totient is φ = 1207296.

The previous prime is 2484019. The next prime is 2484037. The reversal of 2484032 is 2304842.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 246016 = 1496^2 + 496^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2483989 and 2484007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484037) 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, 1844 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (180975).

22484032 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 2484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533650).

2484032 is an abundant number, since it is smaller than the sum of its proper divisors (2583268).

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

2484032 is a wasteful number, since it uses less digits than its factorization.

2484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2484032 is about 1576.0812161815. The cubic root of 2484032 is about 135.4313046215.

Adding to 2484032 its reverse (2304842), we get a palindrome (4788874).

The spelling of 2484032 in words is "two million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1049 1184 2098 2368 4196 8392 16784 33568 38813 67136 77626 155252 310504 621008 1242016 2484032