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444031245 = 325717283293
BaseRepresentation
bin11010011101110…
…110000100001101
31010221112010100200
4122131312010031
51402132444440
6112021044113
714001126510
oct3235660415
91127463320
10444031245
1120870a279
12104856639
1370cb9ca8
1442d86d77
1528eaec30
hex1a77610d

444031245 has 96 divisors (see below), whose sum is σ = 937827072. Its totient is φ = 189720576.

The previous prime is 444031241. The next prime is 444031253. The reversal of 444031245 is 542130444.

It is a happy number.

It is not a de Polignac number, because 444031245 - 22 = 444031241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444031241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1515319 + ... + 1515611.

It is an arithmetic number, because the mean of its divisors is an integer number (9769032).

Almost surely, 2444031245 is an apocalyptic number.

444031245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444031245 is an abundant number, since it is smaller than the sum of its proper divisors (493795827).

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

444031245 is a wasteful number, since it uses less digits than its factorization.

444031245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 444031245 is about 21072.0489037018. The cubic root of 444031245 is about 762.9062573960.

Adding to 444031245 its reverse (542130444), we get a palindrome (986161689).

The spelling of 444031245 in words is "four hundred forty-four million, thirty-one thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 283 293 315 357 595 765 849 879 1071 1415 1465 1785 1981 2051 2547 2637 4245 4395 4811 4981 5355 5943 6153 9905 10255 12735 13185 14433 14943 17829 18459 24055 24905 29715 30765 33677 34867 43299 44829 72165 74715 82919 89145 92295 101031 104601 168385 174335 216495 224145 248757 303093 313803 414595 505155 523005 580433 746271 1243785 1409623 1515465 1569015 1741299 2902165 3731355 4228869 5223897 7048115 8706495 9867361 12686607 21144345 26119485 29602083 49336805 63433035 88806249 148010415 444031245