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8444246640 = 243561357397
BaseRepresentation
bin1111101110101000…
…01111101001110000
3210210111100011201120
413313110033221300
5114243211343030
63513525302240
7416153624604
oct76724175160
923714304646
108444246640
113643614535
121777b64980
13a475a715b
145a16a9504
153464ee010
hex1f750fa70

8444246640 has 80 divisors (see below), whose sum is σ = 26220324768. Its totient is φ = 2248086528.

The previous prime is 8444246639. The next prime is 8444246693. The reversal of 8444246640 is 466424448.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8444246592 and 8444246601.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118422 + ... + 175818.

Almost surely, 28444246640 is an apocalyptic number.

8444246640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110162384).

8444246640 is an abundant number, since it is smaller than the sum of its proper divisors (17776078128).

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

8444246640 is a wasteful number, since it uses less digits than its factorization.

8444246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58026 (or 58020 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The square root of 8444246640 is about 91892.5820727658. The cubic root of 8444246640 is about 2036.3556811735.

The spelling of 8444246640 in words is "eight billion, four hundred forty-four million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613 1226 1839 2452 3065 3678 4904 6130 7356 9195 9808 12260 14712 18390 24520 29424 36780 49040 57397 73560 114794 147120 172191 229588 286985 344382 459176 573970 688764 860955 918352 1147940 1377528 1721910 2295880 2755056 3443820 4591760 6887640 13775280 35184361 70368722 105553083 140737444 175921805 211106166 281474888 351843610 422212332 527765415 562949776 703687220 844424664 1055530830 1407374440 1688849328 2111061660 2814748880 4222123320 8444246640