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3845205 = 335713313
BaseRepresentation
bin1110101010110001010101
321020100122000
432222301111
51441021310
6214225513
744453340
oct16526125
97210560
103845205
112196a61
121355299
13a48290
14721457
1550e4c0
hex3aac55

3845205 has 64 divisors (see below), whose sum is σ = 8440320. Its totient is φ = 1617408.

The previous prime is 3845183. The next prime is 3845221. The reversal of 3845205 is 5025483.

It is not a de Polignac number, because 3845205 - 25 = 3845173 is a prime.

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

3845205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12129 + ... + 12441.

It is an arithmetic number, because the mean of its divisors is an integer number (131880).

Almost surely, 23845205 is an apocalyptic number.

3845205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3845205 is an abundant number, since it is smaller than the sum of its proper divisors (4595115).

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

3845205 is a wasteful number, since it uses less digits than its factorization.

3845205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3845205 is about 1960.9194272076. The cubic root of 3845205 is about 156.6654267796.

The spelling of 3845205 in words is "three million, eight hundred forty-five thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 313 315 351 455 585 819 939 945 1365 1565 1755 2191 2457 2817 4069 4095 4695 6573 8451 10955 12207 12285 14085 19719 20345 28483 32865 36621 42255 59157 61035 85449 98595 109863 142415 183105 256347 295785 427245 549315 769041 1281735 3845205