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2483568 = 24335749
BaseRepresentation
bin1001011110010101110000
311200011211000
421132111300
51113433233
6125122000
730052503
oct11362560
94604730
102483568
111446a3a
129b9300
1368c589
1448913a
15340d13
hex25e570

2483568 has 40 divisors (see below), whose sum is σ = 7130000. Its totient is φ = 827712.

The previous prime is 2483567. The next prime is 2483599. The reversal of 2483568 is 8653842.

2483568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24835682 = 12336220021248, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 219 + 46 + 8 + 35 + 59 + 64 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483561) 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 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (178250).

22483568 is an apocalyptic number.

It is an amenable number.

2483568 is an abundant number, since it is smaller than the sum of its proper divisors (4646432).

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

2483568 is a wasteful number, since it uses less digits than its factorization.

2483568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5754 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2483568 is about 1575.9340087707. The cubic root of 2483568 is about 135.4228715526.

The spelling of 2483568 in words is "two million, four hundred eighty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5749 11498 17247 22996 34494 45992 51741 68988 91984 103482 137976 155223 206964 275952 310446 413928 620892 827856 1241784 2483568