Search a number
-
+
14048448 = 263193851
BaseRepresentation
bin110101100101…
…110011000000
3222102201211220
4311211303000
512044022243
61221035040
7230260401
oct65456300
928381756
1014048448
117a25897
124855a80
132bab4bb
141c199a8
151377783
hexd65cc0

14048448 has 56 divisors (see below), whose sum is σ = 39136320. Its totient is φ = 4435200.

The previous prime is 14048417. The next prime is 14048449. The reversal of 14048448 is 84484041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14048449) 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, 1723 + ... + 5573.

Almost surely, 214048448 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 14048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568160).

14048448 is an abundant number, since it is smaller than the sum of its proper divisors (25087872).

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

14048448 is a wasteful number, since it uses less digits than its factorization.

14048448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3875 counting only the distinct ones).

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

The square root of 14048448 is about 3748.1259317157. The cubic root of 14048448 is about 241.2919219836.

The spelling of 14048448 in words is "fourteen million, forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 3851 7702 11553 15404 23106 30808 46212 61616 73169 92424 123232 146338 184848 219507 246464 292676 369696 439014 585352 739392 878028 1170704 1756056 2341408 3512112 4682816 7024224 14048448