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2482144 = 25721583
BaseRepresentation
bin1001011101111111100000
311200002212021
421131333200
51113412034
6125111224
730045400
oct11357740
94602767
102482144
111445965
129b8514
1368ba32
14488800
153406b4
hex25dfe0

2482144 has 36 divisors (see below), whose sum is σ = 5688144. Its totient is φ = 1063104.

The previous prime is 2482111. The next prime is 2482147. The reversal of 2482144 is 4412842.

It is a super-2 number, since 2×24821442 = 12322077673472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 777 + ... + 2359.

It is an arithmetic number, because the mean of its divisors is an integer number (158004).

22482144 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 2482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072).

2482144 is an abundant number, since it is smaller than the sum of its proper divisors (3206000).

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

2482144 is a wasteful number, since it uses less digits than its factorization.

2482144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1592 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 2482144 is about 1575.4821484231. The cubic root of 2482144 is about 135.3969841952.

Adding to 2482144 its reverse (4412842), we get a palindrome (6894986).

The spelling of 2482144 in words is "two million, four hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1583 3166 6332 11081 12664 22162 25328 44324 50656 77567 88648 155134 177296 310268 354592 620536 1241072 2482144