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4425960285 = 34517733877
BaseRepresentation
bin1000001111100111…
…01100101101011101
3102102110020002010000
410013303230231131
533031021212120
62011103404513
7214452020205
oct40763545535
912373202100
104425960285
11197138051a
12a362b3739
13556c52316
142ddb55405
151ad865990
hex107cecb5d

4425960285 has 80 divisors (see below), whose sum is σ = 8421698736. Its totient is φ = 2216097792.

The previous prime is 4425960281. The next prime is 4425960293. The reversal of 4425960285 is 5820695244.

It can be written as a sum of positive squares in 8 ways, for example, as 1346376249 + 3079584036 = 36693^2 + 55494^2 .

It is not a de Polignac number, because 4425960285 - 22 = 4425960281 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 4425960285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425960281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5046267 + ... + 5047143.

Almost surely, 24425960285 is an apocalyptic number.

4425960285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4425960285 is a deficient number, since it is larger than the sum of its proper divisors (3995738451).

4425960285 is a wasteful number, since it uses less digits than its factorization.

4425960285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4425960285 is about 66527.8910307549. The cubic root of 4425960285 is about 1641.8589228946.

The spelling of 4425960285 in words is "four billion, four hundred twenty-five million, nine hundred sixty thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 733 765 877 1377 2199 2295 2631 3665 4385 6597 6885 7893 10995 12461 13155 14909 19791 23679 32985 37383 39465 44727 59373 62305 71037 74545 98955 112149 118395 134181 186915 223635 296865 336447 355185 402543 560745 642841 670905 1009341 1207629 1682235 1928523 2012715 3214205 5046705 5785569 6038145 9642615 10928297 17356707 28927845 32784891 52070121 54641485 86783535 98354673 163924455 260350605 295064019 491773365 885192057 1475320095 4425960285