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4243287465 = 345173716657
BaseRepresentation
bin1111110011101011…
…0110110110101001
3101221201111100010000
43330322312312221
532142240144330
61541020213213
7210103230324
oct37472666651
911851440100
104243287465
11188825274a
129a509a209
135281539b1
142c37a37bb
1519c7d0560
hexfceb6da9

4243287465 has 80 divisors (see below), whose sum is σ = 8272096272. Its totient is φ = 2072272896.

The previous prime is 4243287463. The next prime is 4243287479. The reversal of 4243287465 is 5647823424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1619901504 + 2623385961 = 40248^2 + 51219^2 .

It is not a de Polignac number, because 4243287465 - 21 = 4243287463 is a prime.

It is a super-2 number, since 2×42432874652 = 36010977021252252450, which contains 22 as substring.

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 4243287465.

It is not an unprimeable number, because it can be changed into a prime (4243287463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246417 + ... + 263073.

Almost surely, 24243287465 is an apocalyptic number.

4243287465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4243287465 is a deficient number, since it is larger than the sum of its proper divisors (4028808807).

4243287465 is a wasteful number, since it uses less digits than its factorization.

4243287465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16719 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4243287465 is about 65140.5209144047. The cubic root of 4243287465 is about 1618.9526666642.

The spelling of 4243287465 in words is "four billion, two hundred forty-three million, two hundred eighty-seven thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 37 45 51 81 85 111 135 153 185 255 333 405 459 555 629 765 999 1377 1665 1887 2295 2997 3145 4995 5661 6885 9435 14985 16657 16983 28305 49971 50949 83285 84915 149913 249855 254745 283169 449739 616309 749565 849507 1349217 1415845 1848927 2248695 2548521 3081545 4247535 5546781 6746085 7645563 9244635 10477253 12742605 16640343 22936689 27733905 31431759 38227815 49921029 52386265 83201715 94295277 114683445 157158795 249605145 282885831 471476385 848657493 1414429155 4243287465