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444049680 = 24354145127
BaseRepresentation
bin11010011101111…
…010100100010000
31010221120001122110
4122131322210100
51402134042210
6112021305320
714001234324
oct3235724420
91127501573
10444049680
11208722108
12104865240
1370cc54b9
1442d8d984
1528eb5420
hex1a77a910

444049680 has 80 divisors (see below), whose sum is σ = 1410159744. Its totient is φ = 115522560.

The previous prime is 444049663. The next prime is 444049693. The reversal of 444049680 is 86940444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12724 + ... + 32403.

Almost surely, 2444049680 is an apocalyptic number.

444049680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444049680 is an abundant number, since it is smaller than the sum of its proper divisors (966110064).

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

444049680 is a wasteful number, since it uses less digits than its factorization.

444049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45184 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 444049680 is about 21072.4863269620. The cubic root of 444049680 is about 762.9168151982.

The spelling of 444049680 in words is "four hundred forty-four million, forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 45127 90254 135381 180508 225635 270762 361016 451270 541524 676905 722032 902540 1083048 1353810 1805080 1850207 2166096 2707620 3610160 3700414 5415240 5550621 7400828 9251035 10830480 11101242 14801656 18502070 22202484 27753105 29603312 37004140 44404968 55506210 74008280 88809936 111012420 148016560 222024840 444049680