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444428138 = 272111073853
BaseRepresentation
bin11010011111010…
…110111101101010
31010222021021210102
4122133112331222
51402233200023
6112033345402
714004401600
oct3237267552
91128237712
10444428138
11208960490
12104a08262
13710c883b
144304b870
152903c628
hex1a7d6f6a

444428138 has 48 divisors (see below), whose sum is σ = 854108064. Its totient is φ = 171491040.

The previous prime is 444428129. The next prime is 444428147. The reversal of 444428138 is 831824444.

It is an interprime number because it is at equal distance from previous prime (444428129) and next prime (444428147).

It is a super-2 number, since 2×4444281382 = 395032739692294088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113420 + ... + 117272.

It is an arithmetic number, because the mean of its divisors is an integer number (17793918).

Almost surely, 2444428138 is an apocalyptic number.

444428138 is a deficient number, since it is larger than the sum of its proper divisors (409679926).

444428138 is a wasteful number, since it uses less digits than its factorization.

444428138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3980 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The square root of 444428138 is about 21081.4643229544. The cubic root of 444428138 is about 763.1334951451.

The spelling of 444428138 in words is "four hundred forty-four million, four hundred twenty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 7 11 14 22 49 77 98 107 154 214 539 749 1078 1177 1498 2354 3853 5243 7706 8239 10486 16478 26971 42383 53942 57673 84766 115346 188797 296681 377594 412271 593362 824542 2076767 2885897 4153534 4534981 5771794 9069962 20201279 31744867 40402558 63489734 222214069 444428138