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444739401 = 321071373371
BaseRepresentation
bin11010100000100…
…010111101001001
31010222212002202200
4122200202331021
51402323130101
6112044150413
714010136221
oct3240427511
91128762680
10444739401
11209053327
12104b38409
13711a7412
14430cd081
152909e986
hex1a822f49

444739401 has 24 divisors (see below), whose sum is σ = 653331744. Its totient is φ = 291491520.

The previous prime is 444739391. The next prime is 444739417. The reversal of 444739401 is 104937444.

It is a de Polignac number, because none of the positive numbers 2k-444739401 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (444739301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130246 + ... + 133616.

It is an arithmetic number, because the mean of its divisors is an integer number (27222156).

Almost surely, 2444739401 is an apocalyptic number.

It is an amenable number.

444739401 is a deficient number, since it is larger than the sum of its proper divisors (208592343).

444739401 is a wasteful number, since it uses less digits than its factorization.

444739401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 444739401 is about 21088.8454164755. The cubic root of 444739401 is about 763.3116115217.

The spelling of 444739401 in words is "four hundred forty-four million, seven hundred thirty-nine thousand, four hundred one".

Divisors: 1 3 9 107 137 321 411 963 1233 3371 10113 14659 30339 43977 131931 360697 461827 1082091 1385481 3246273 4156443 49415489 148246467 444739401