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444209913 = 3473132503
BaseRepresentation
bin11010011110100…
…001101011111001
31010221212012110000
4122132201223321
51402204204123
6112024543213
714002502430
oct3236415371
91127765400
10444209913
11208821534
12104921b09
1371050404
1442dd2117
1528ee7b43
hex1a7a1af9

444209913 has 40 divisors (see below), whose sum is σ = 761095808. Its totient is φ = 252922176.

The previous prime is 444209903. The next prime is 444209923. The reversal of 444209913 is 319902444.

444209913 is a `hidden beast` number, since 444 + 209 + 9 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (444209903) and next prime (444209923).

It is a de Polignac number, because none of the positive numbers 2k-444209913 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (444209903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176220 + ... + 178722.

Almost surely, 2444209913 is an apocalyptic number.

It is an amenable number.

444209913 is a deficient number, since it is larger than the sum of its proper divisors (316885895).

444209913 is a wasteful number, since it uses less digits than its factorization.

444209913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 444209913 is about 21076.2879321763. The cubic root of 444209913 is about 763.0085690077.

The spelling of 444209913 in words is "four hundred forty-four million, two hundred nine thousand, nine hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 313 567 939 2191 2503 2817 6573 7509 8451 17521 19719 22527 25353 52563 59157 67581 157689 177471 202743 473067 783439 1419201 2350317 5484073 7050951 16452219 21152853 49356657 63458559 148069971 444209913