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444316938 = 2313191731733
BaseRepresentation
bin11010011110111…
…011110100001010
31010222001122020220
4122132323310022
51402221120223
6112031130510
714003426442
oct3236736412
91128048226
10444316938
1120889498a
12104973a36
137108a040
144301d122
15290196e3
hex1a7bbd0a

444316938 has 64 divisors (see below), whose sum is σ = 1013765760. Its totient is φ = 128694528.

The previous prime is 444316931. The next prime is 444316949. The reversal of 444316938 is 839613444.

It is a self number, because there is not a number n which added to its sum of digits gives 444316938.

It is not an unprimeable number, because it can be changed into a prime (444316931) 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 31 ways as a sum of consecutive naturals, for example, 255520 + ... + 257252.

It is an arithmetic number, because the mean of its divisors is an integer number (15840090).

Almost surely, 2444316938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444316938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506882880).

444316938 is an abundant number, since it is smaller than the sum of its proper divisors (569448822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444316938 is a wasteful number, since it uses less digits than its factorization.

444316938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943.

The product of its digits is 248832, while the sum is 42.

The square root of 444316938 is about 21078.8267700079. The cubic root of 444316938 is about 763.0698421673.

The spelling of 444316938 in words is "four hundred forty-four million, three hundred sixteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 173 247 346 494 519 741 1038 1482 1733 2249 3287 3466 4498 5199 6574 6747 9861 10398 13494 19722 22529 32927 42731 45058 65854 67587 85462 98781 128193 135174 197562 256386 299809 428051 599618 856102 899427 1284153 1798854 2568306 3897517 5696371 7795034 11392742 11692551 17089113 23385102 34178226 74052823 148105646 222158469 444316938