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7444129 = 73111973
BaseRepresentation
bin11100011001011010100001
3112000012102111
4130121122201
53401203004
6423315321
7120163000
oct34313241
915005374
107444129
114224980
1225abb41
131708414
14dbac37
159c0a04
hex7196a1

7444129 has 16 divisors (see below), whose sum is σ = 9475200. Its totient is φ = 5797680.

The previous prime is 7444109. The next prime is 7444153. The reversal of 7444129 is 9214447.

It is not a de Polignac number, because 7444129 - 211 = 7442081 is a prime.

7444129 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7444129.

It is not an unprimeable number, because it can be changed into a prime (7444109) 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 15 ways as a sum of consecutive naturals, for example, 2787 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 27444129 is an apocalyptic number.

It is an amenable number.

7444129 is a deficient number, since it is larger than the sum of its proper divisors (2031071).

7444129 is a wasteful number, since it uses less digits than its factorization.

7444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1991 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 7444129 is about 2728.3931168364. The cubic root of 7444129 is about 195.2561088060.

The spelling of 7444129 in words is "seven million, four hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 7 11 49 77 343 539 1973 3773 13811 21703 96677 151921 676739 1063447 7444129