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14420448 = 2532723311
BaseRepresentation
bin110111000000…
…100111100000
31000010122010200
4313000213200
512142423243
61233025200
7233400060
oct67004740
930118120
1014420448
11815a329
1249b5200
132cab913
141cb53a0
1513ecad3
hexdc09e0

14420448 has 144 divisors (see below), whose sum is σ = 49061376. Its totient is φ = 3928320.

The previous prime is 14420431. The next prime is 14420459. The reversal of 14420448 is 84402441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46213 + ... + 46523.

It is an arithmetic number, because the mean of its divisors is an integer number (340704).

Almost surely, 214420448 is an apocalyptic number.

14420448 is a gapful number since it is divisible by the number (18) 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 14420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530688).

14420448 is an abundant number, since it is smaller than the sum of its proper divisors (34640928).

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

14420448 is a wasteful number, since it uses less digits than its factorization.

14420448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

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

The square root of 14420448 is about 3797.4264969845. The cubic root of 14420448 is about 243.4031817163.

Adding to 14420448 its reverse (84402441), we get a palindrome (98822889).

The spelling of 14420448 in words is "fourteen million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 311 322 336 368 414 483 504 552 622 644 672 736 828 933 966 1008 1104 1244 1288 1449 1656 1866 1932 2016 2177 2208 2488 2576 2799 2898 3312 3732 3864 4354 4976 5152 5598 5796 6531 6624 7153 7464 7728 8708 9952 11196 11592 13062 14306 14928 15456 17416 19593 21459 22392 23184 26124 28612 29856 34832 39186 42918 44784 46368 50071 52248 57224 64377 69664 78372 85836 89568 100142 104496 114448 128754 150213 156744 171672 200284 208992 228896 257508 300426 313488 343344 400568 450639 515016 600852 626976 686688 801136 901278 1030032 1201704 1602272 1802556 2060064 2403408 3605112 4806816 7210224 14420448