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2442824865 = 335132107071
BaseRepresentation
bin1001000110011010…
…1000110010100001
320022020121100202000
42101212220302201
520000330343430
61042222114213
7114351445245
oct22146506241
96266540660
102442824865
111043a02528
1258211b969
132cc131200
1419260a425
15e46d4e60
hex919a8ca1

2442824865 has 48 divisors (see below), whose sum is σ = 4702602240. Its totient is φ = 1202610240.

The previous prime is 2442824863. The next prime is 2442824903. The reversal of 2442824865 is 5684282442.

It is not a de Polignac number, because 2442824865 - 21 = 2442824863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2442824865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442824863) 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 47 ways as a sum of consecutive naturals, for example, 30721 + ... + 76350.

It is an arithmetic number, because the mean of its divisors is an integer number (97970880).

Almost surely, 22442824865 is an apocalyptic number.

It is an amenable number.

2442824865 is a deficient number, since it is larger than the sum of its proper divisors (2259777375).

2442824865 is a wasteful number, since it uses less digits than its factorization.

2442824865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107111 (or 107092 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 2442824865 is about 49424.9417298594. The cubic root of 2442824865 is about 1346.7824361787.

The spelling of 2442824865 in words is "two billion, four hundred forty-two million, eight hundred twenty-four thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 845 1521 1755 2535 4563 7605 22815 107071 321213 535355 963639 1391923 1606065 2890917 4175769 4818195 6959615 12527307 14454585 18094999 20878845 37581921 54284997 62636535 90474995 162854991 187909605 271424985 488564973 814274955 2442824865