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4144149 = 33153487
BaseRepresentation
bin1111110011110000010101
321210112201000
433303300111
52030103044
6224453513
750140032
oct17636025
97715630
104144149
112380619
12147a299
13b21379
1479c389
1556cd69
hex3f3c15

4144149 has 8 divisors (see below), whose sum is σ = 6139520. Its totient is φ = 2762748.

The previous prime is 4144121. The next prime is 4144159. The reversal of 4144149 is 9414414.

It is not a de Polignac number, because 4144149 - 29 = 4143637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 153487 = 4144149 / (4 + 1 + 4 + 4 + 1 + 4 + 9).

It is a Duffinian number.

4144149 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76717 + ... + 76770.

It is an arithmetic number, because the mean of its divisors is an integer number (767440).

Almost surely, 24144149 is an apocalyptic number.

It is an amenable number.

4144149 is a deficient number, since it is larger than the sum of its proper divisors (1995371).

4144149 is a wasteful number, since it uses less digits than its factorization.

4144149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153496 (or 153490 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4144149 is about 2035.7183007479. The cubic root of 4144149 is about 160.6244994357.

The spelling of 4144149 in words is "four million, one hundred forty-four thousand, one hundred forty-nine".

Divisors: 1 3 9 27 153487 460461 1381383 4144149