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444970845 = 325112711151
BaseRepresentation
bin11010100001011…
…011011101011101
31011000021212020200
4122201123131131
51402403031340
6112053134113
714012122044
oct3241333535
91130255220
10444970845
112091a1200
1210502a339
1371258877
144314d55b
15290e8330
hex1a85b75d

444970845 has 72 divisors (see below), whose sum is σ = 860461056. Its totient is φ = 212520000.

The previous prime is 444970819. The next prime is 444970847. The reversal of 444970845 is 548079444.

444970845 = T3995 + T3996 + ... + T4049.

It is not a de Polignac number, because 444970845 - 26 = 444970781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 444970845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444970847) 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 71 ways as a sum of consecutive naturals, for example, 386020 + ... + 387170.

It is an arithmetic number, because the mean of its divisors is an integer number (11950848).

Almost surely, 2444970845 is an apocalyptic number.

444970845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444970845 is a deficient number, since it is larger than the sum of its proper divisors (415490211).

444970845 is a wasteful number, since it uses less digits than its factorization.

444970845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 444970845 is about 21094.3320586360. The cubic root of 444970845 is about 763.4439986046.

The spelling of 444970845 in words is "four hundred forty-four million, nine hundred seventy thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 121 165 213 355 363 495 605 639 781 1065 1089 1151 1815 2343 3195 3453 3905 5445 5755 7029 8591 10359 11715 12661 17265 25773 35145 37983 42955 51795 63305 77319 81721 113949 128865 139271 189915 245163 386595 408605 417813 569745 696355 735489 898931 1225815 1253439 2089065 2696793 3677445 4494655 6267195 8090379 9888241 13483965 29664723 40451895 49441205 88994169 148323615 444970845