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5441205 = 357211673
BaseRepresentation
bin10100110000011010110101
3101020102221010
4110300122311
52343104310
6312342433
764151400
oct24603265
911212833
105441205
113087070
1219a4a19
131186863
14a18d37
15727320
hex5306b5

5441205 has 48 divisors (see below), whose sum is σ = 11064384. Its totient is φ = 2257920.

The previous prime is 5441197. The next prime is 5441209. The reversal of 5441205 is 5021445.

It is not a de Polignac number, because 5441205 - 23 = 5441197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

5441205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7749 + ... + 8421.

It is an arithmetic number, because the mean of its divisors is an integer number (230508).

Almost surely, 25441205 is an apocalyptic number.

5441205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5441205 is an abundant number, since it is smaller than the sum of its proper divisors (5623179).

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

5441205 is a wasteful number, since it uses less digits than its factorization.

5441205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5441205 is about 2332.6390633786. The cubic root of 5441205 is about 175.8861716623.

The spelling of 5441205 in words is "five million, four hundred forty-one thousand, two hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 673 735 1155 1617 2019 2695 3365 4711 7403 8085 10095 14133 22209 23555 32977 37015 51821 70665 98931 111045 155463 164885 259105 362747 494655 777315 1088241 1813735 5441205