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4444073360 = 245176195279
BaseRepresentation
bin1000010001110001…
…10010110110010000
3102110201022022120122
410020320302312100
533100140321420
62012551525412
7215062000046
oct41070626620
912421268518
104444073360
111980622101
12a40389868
1355a92490c
1430230c396
151b0242725
hex108e32d90

4444073360 has 80 divisors (see below), whose sum is σ = 10960012800. Its totient is φ = 1670043648.

The previous prime is 4444073357. The next prime is 4444073383. The reversal of 4444073360 is 633704444.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4444073360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839201 + ... + 844479.

It is an arithmetic number, because the mean of its divisors is an integer number (137000160).

Almost surely, 24444073360 is an apocalyptic number.

4444073360 is a gapful number since it is divisible by the number (40) 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 4444073360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480006400).

4444073360 is an abundant number, since it is smaller than the sum of its proper divisors (6515939440).

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

4444073360 is a wasteful number, since it uses less digits than its factorization.

4444073360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The square root of 4444073360 is about 66663.8834752372. The cubic root of 4444073360 is about 1644.0956229665.

The spelling of 4444073360 in words is "four billion, four hundred forty-four million, seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 619 680 1238 1360 2476 3095 4952 5279 6190 9904 10523 10558 12380 21046 21116 24760 26395 42092 42232 49520 52615 52790 84184 84464 89743 105230 105580 168368 179486 210460 211160 358972 420920 422320 448715 717944 841840 897430 1435888 1794860 3267701 3589720 6535402 7179440 13070804 16338505 26141608 32677010 52283216 55550917 65354020 111101834 130708040 222203668 261416080 277754585 444407336 555509170 888814672 1111018340 2222036680 4444073360