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4066335 = 335713331
BaseRepresentation
bin1111100000110000011111
321122120222000
433200300133
52020110320
6223053343
746364130
oct17406037
97576860
104066335
112328109
121441253
13ac4b20
1477bc87
15554c90
hex3e0c1f

4066335 has 64 divisors (see below), whose sum is σ = 8924160. Its totient is φ = 1710720.

The previous prime is 4066333. The next prime is 4066357. The reversal of 4066335 is 5336604.

4066335 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 4066335 - 21 = 4066333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4066299 and 4066308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12120 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

Almost surely, 24066335 is an apocalyptic number.

4066335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4066335 is an abundant number, since it is smaller than the sum of its proper divisors (4857825).

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

4066335 is a wasteful number, since it uses less digits than its factorization.

4066335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4066335 is about 2016.5155590771. The cubic root of 4066335 is about 159.6128007145.

The spelling of 4066335 in words is "four million, sixty-six thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 331 351 455 585 819 945 993 1365 1655 1755 2317 2457 2979 4095 4303 4965 6951 8937 11585 12285 12909 14895 20853 21515 30121 34755 38727 44685 62559 64545 90363 104265 116181 150605 193635 271089 312795 451815 580905 813267 1355445 4066335