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14480448 = 263531423
BaseRepresentation
bin110111001111…
…010001000000
31000020200102220
4313033101000
512201333243
61234211040
7234040023
oct67172100
930220386
1014480448
1181a0414
124a23a80
133000018
141ccd1ba
151410783
hexdcf440

14480448 has 56 divisors (see below), whose sum is σ = 39063168. Its totient is φ = 4732416.

The previous prime is 14480443. The next prime is 14480449. The reversal of 14480448 is 84408441.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14480443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9465 + ... + 10887.

Almost surely, 214480448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531584).

14480448 is an abundant number, since it is smaller than the sum of its proper divisors (24582720).

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

14480448 is a wasteful number, since it uses less digits than its factorization.

14480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 14480448 is about 3805.3183835259. The cubic root of 14480448 is about 243.7402952086.

Adding to 14480448 its reverse (84408441), we get a palindrome (98888889).

The spelling of 14480448 in words is "fourteen million, four hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1423 1696 2544 2846 3392 4269 5088 5692 8538 10176 11384 17076 22768 34152 45536 68304 75419 91072 136608 150838 226257 273216 301676 452514 603352 905028 1206704 1810056 2413408 3620112 4826816 7240224 14480448