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2484288 = 263219227
BaseRepresentation
bin1001011110100001000000
311200012210200
421132201000
51113444123
6125125200
730054552
oct11364100
94605720
102484288
111447534
129b9800
1368c9c1
144894d2
15341143
hex25e840

2484288 has 84 divisors (see below), whose sum is σ = 7528560. Its totient is φ = 781056.

The previous prime is 2484271. The next prime is 2484289. The reversal of 2484288 is 8824842.

2484288 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2484289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10831 + ... + 11057.

22484288 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 2484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764280).

2484288 is an abundant number, since it is smaller than the sum of its proper divisors (5044272).

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

2484288 is a wasteful number, since it uses less digits than its factorization.

2484288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2484288 is about 1576.1624281780. The cubic root of 2484288 is about 135.4359568996.

It can be divided in two parts, 2484 and 288, that added together give a palindrome (2772).

The spelling of 2484288 in words is "two million, four hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 227 228 288 304 342 454 456 576 608 681 684 908 912 1216 1362 1368 1816 1824 2043 2724 2736 3632 3648 4086 4313 5448 5472 7264 8172 8626 10896 10944 12939 14528 16344 17252 21792 25878 32688 34504 38817 43584 51756 65376 69008 77634 103512 130752 138016 155268 207024 276032 310536 414048 621072 828096 1242144 2484288