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14482440 = 2332572821
BaseRepresentation
bin110111001111…
…110000001000
31000020210011200
4313033300020
512201414230
61234224200
7234045600
oct67176010
930223150
1014482440
1181a1965
124a25060
133000bbb
141ccdc00
151411160
hexdcfc08

14482440 has 144 divisors (see below), whose sum is σ = 54819180. Its totient is φ = 3306240.

The previous prime is 14482423. The next prime is 14482441. The reversal of 14482440 is 4428441.

It is a happy number.

14482440 is a `hidden beast` number, since 144 + 82 + 440 = 666.

14482440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 509796 = 3738^2 + 714^2 .

It is not an unprimeable number, because it can be changed into a prime (14482441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17230 + ... + 18050.

Almost surely, 214482440 is an apocalyptic number.

14482440 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 14482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27409590).

14482440 is an abundant number, since it is smaller than the sum of its proper divisors (40336740).

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

14482440 is a wasteful number, since it uses less digits than its factorization.

14482440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 14482440 is about 3805.5801134650. The cubic root of 14482440 is about 243.7514713915.

The spelling of 14482440 in words is "fourteen million, four hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 821 840 882 980 1176 1260 1470 1642 1764 1960 2205 2463 2520 2940 3284 3528 4105 4410 4926 5747 5880 6568 7389 8210 8820 9852 11494 12315 14778 16420 17241 17640 19704 22988 24630 28735 29556 32840 34482 36945 40229 45976 49260 51723 57470 59112 68964 73890 80458 86205 98520 103446 114940 120687 137928 147780 160916 172410 201145 206892 229880 241374 258615 295560 321832 344820 362061 402290 413784 482748 517230 603435 689640 724122 804580 965496 1034460 1206870 1448244 1609160 1810305 2068920 2413740 2896488 3620610 4827480 7241220 14482440