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4144413 = 3713171947
BaseRepresentation
bin1111110011110100011101
321210120001210
433303310131
52030110123
6224455033
750140560
oct17636435
97716053
104144413
112380839
12147a479
13b21520
1479c4d7
1556ce93
hex3f3d1d

4144413 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1907712.

The previous prime is 4144409. The next prime is 4144423. The reversal of 4144413 is 3144414.

It is not a de Polignac number, because 4144413 - 22 = 4144409 is a prime.

It is a super-2 number, since 2×41444132 = 34352318229138, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4144413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144423) 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, 88156 + ... + 88202.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 24144413 is an apocalyptic number.

It is an amenable number.

4144413 is a deficient number, since it is larger than the sum of its proper divisors (3597027).

4144413 is a wasteful number, since it uses less digits than its factorization.

4144413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 768, while the sum is 21.

The square root of 4144413 is about 2035.7831416927. The cubic root of 4144413 is about 160.6279101856.

Adding to 4144413 its reverse (3144414), we get a palindrome (7288827).

Subtracting from 4144413 its reverse (3144414), we obtain a palindrome (999999).

The spelling of 4144413 in words is "four million, one hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 7 13 17 19 21 39 47 51 57 91 119 133 141 221 247 273 323 329 357 399 611 663 741 799 893 969 987 1547 1729 1833 2261 2397 2679 4199 4277 4641 5187 5593 6251 6783 10387 11609 12597 12831 15181 16779 18753 29393 31161 34827 45543 72709 81263 88179 106267 197353 218127 243789 318801 592059 1381471 4144413