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1444482760 = 23573127829
BaseRepresentation
bin101011000011001…
…0000111011001000
310201200001022211111
41112012100323020
510424241422020
6355200140104
750536621000
oct12606207310
93650038744
101444482760
11681411306
12343907634
131a0354836
14d9bb1000
1586c2ed5a
hex56190ec8

1444482760 has 128 divisors (see below), whose sum is σ = 3824640000. Its totient is φ = 490758912.

The previous prime is 1444482737. The next prime is 1444482769. The reversal of 1444482760 is 672844441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444482769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1742026 + ... + 1742854.

It is an arithmetic number, because the mean of its divisors is an integer number (29880000).

Almost surely, 21444482760 is an apocalyptic number.

1444482760 is a gapful number since it is divisible by the number (10) 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 1444482760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912320000).

1444482760 is an abundant number, since it is smaller than the sum of its proper divisors (2380157240).

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

1444482760 is a wasteful number, since it uses less digits than its factorization.

1444482760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 1444482760 is about 38006.3515744408. The cubic root of 1444482760 is about 1130.4138093382.

The spelling of 1444482760 in words is "one billion, four hundred forty-four million, four hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 127 140 196 245 254 280 343 392 490 508 635 686 829 889 980 1016 1270 1372 1658 1715 1778 1960 2540 2744 3316 3430 3556 4145 4445 5080 5803 6223 6632 6860 7112 8290 8890 11606 12446 13720 16580 17780 23212 24892 29015 31115 33160 35560 40621 43561 46424 49784 58030 62230 81242 87122 105283 116060 124460 162484 174244 203105 210566 217805 232120 248920 284347 324968 348488 406210 421132 435610 526415 568694 736981 812420 842264 871220 1052830 1137388 1421735 1473962 1624840 1742440 2105660 2274776 2843470 2947924 3684905 4211320 5158867 5686940 5895848 7369810 10317734 11373880 14739620 20635468 25794335 29479240 36112069 41270936 51588670 72224138 103177340 144448276 180560345 206354680 288896552 361120690 722241380 1444482760