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45305425 = 5211217881
BaseRepresentation
bin1010110011010…
…0111001010001
310011020202100201
42230310321101
543044233200
64255015201
71060042534
oct254647121
9104222321
1045305425
1123634700
121320a501
139503659
146034a1b
153e9dc6a
hex2b34e51

45305425 has 36 divisors (see below), whose sum is σ = 65456748. Its totient is φ = 30976000.

The previous prime is 45305419. The next prime is 45305431. The reversal of 45305425 is 52450354.

45305425 = T431 + T432 + ... + T705.

45305425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45305419) and next prime (45305431).

It can be written as a sum of positive squares in 6 ways, for example, as 1308736 + 43996689 = 1144^2 + 6633^2 .

It is not a de Polignac number, because 45305425 - 27 = 45305297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45305393 and 45305402.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50985 + ... + 51865.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 245305425 is an apocalyptic number.

It is an amenable number.

45305425 is a deficient number, since it is larger than the sum of its proper divisors (20151323).

45305425 is a wasteful number, since it uses less digits than its factorization.

45305425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 45305425 is about 6730.9304705962. The cubic root of 45305425 is about 356.4922308676.

Adding to 45305425 its reverse (52450354), we get a palindrome (97755779).

Subtracting 45305425 from its reverse (52450354), we obtain a square (7144929 = 26732).

The spelling of 45305425 in words is "forty-five million, three hundred five thousand, four hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 425 605 881 935 2057 3025 4405 4675 9691 10285 14977 22025 48455 51425 74885 106601 164747 242275 374425 533005 823735 1812217 2665025 4118675 9061085 45305425