Search a number
-
+
2482304 = 27114143
BaseRepresentation
bin1001011110000010000000
311200010002012
421132002000
51113413204
6125112052
730046016
oct11360200
94603065
102482304
111445aa0
129b8628
1368bb26
144888b6
1534076e
hex25e080

2482304 has 64 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 1075200.

The previous prime is 2482297. The next prime is 2482309. The reversal of 2482304 is 4032842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2482304.

It is not an unprimeable number, because it can be changed into a prime (2482309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57707 + ... + 57749.

22482304 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 2482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

2482304 is an abundant number, since it is smaller than the sum of its proper divisors (3172576).

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

2482304 is a wasteful number, since it uses less digits than its factorization.

2482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

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

The square root of 2482304 is about 1575.5329257112. The cubic root of 2482304 is about 135.3998933807.

It can be divided in two parts, 248 and 2304, that added together give a palindrome (2552).

The spelling of 2482304 in words is "two million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 43 44 64 82 86 88 128 164 172 176 328 344 352 451 473 656 688 704 902 946 1312 1376 1408 1763 1804 1892 2624 2752 3526 3608 3784 5248 5504 7052 7216 7568 14104 14432 15136 19393 28208 28864 30272 38786 56416 57728 60544 77572 112832 155144 225664 310288 620576 1241152 2482304