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2848144 = 241313693
BaseRepresentation
bin1010110111010110010000
312100200220211
422313112100
51212120034
6141013504
733131425
oct12672620
95320824
102848144
111675942
12b54294
137894c0
14541d4c
153b3d64
hex2b7590

2848144 has 20 divisors (see below), whose sum is σ = 5943196. Its totient is φ = 1314432.

The previous prime is 2848141. The next prime is 2848171. The reversal of 2848144 is 4418482.

2848144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 921600 = 1388^2 + 960^2 .

It is a super-2 number, since 2×28481442 = 16223848489472, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2848141) 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 3 ways as a sum of consecutive naturals, for example, 6639 + ... + 7054.

22848144 is an apocalyptic number.

It is an amenable number.

2848144 is an abundant number, since it is smaller than the sum of its proper divisors (3095052).

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

2848144 is a wasteful number, since it uses less digits than its factorization.

2848144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13714 (or 13708 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 2848144 is about 1687.6445123307. The cubic root of 2848144 is about 141.7492101811.

It can be divided in two parts, 2848 and 144, that added together give a palindrome (2992).

The spelling of 2848144 in words is "two million, eight hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 13693 27386 54772 109544 178009 219088 356018 712036 1424072 2848144