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444050293 = 3143261127
BaseRepresentation
bin11010011101111…
…010101101110101
31010221120002111011
4122131322231311
51402134102133
6112021312221
714001236161
oct3235725565
91127502434
10444050293
11208722615
12104865671
1370cc586b
1442d8dca1
1528eb56cd
hex1a77ab75

444050293 has 24 divisors (see below), whose sum is σ = 480731136. Its totient is φ = 409600800.

The previous prime is 444050287. The next prime is 444050329. The reversal of 444050293 is 392050444.

It is a happy number.

It is not a de Polignac number, because 444050293 - 25 = 444050261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444050203) by changing a digit.

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, 3496396 + ... + 3496522.

It is an arithmetic number, because the mean of its divisors is an integer number (20030464).

Almost surely, 2444050293 is an apocalyptic number.

444050293 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

444050293 is a deficient number, since it is larger than the sum of its proper divisors (36680843).

444050293 is a wasteful number, since it uses less digits than its factorization.

444050293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 444050293 is about 21072.5008719895. The cubic root of 444050293 is about 762.9171662609.

The spelling of 444050293 in words is "four hundred forty-four million, fifty thousand, two hundred ninety-three".

Divisors: 1 31 43 61 127 1333 1849 1891 2623 3937 5461 7747 57319 81313 112789 169291 234823 240157 333121 3496459 7279513 10326751 14324203 444050293