Search a number
-
+
14434848 = 25345569
BaseRepresentation
bin110111000100…
…001000100000
31000011100220000
4313010020200
512143403343
61233220000
7233460051
oct67041040
930140800
1014434848
11816a12a
124a01600
132cb533c
141cba728
151401ed3
hexdc4220

14434848 has 60 divisors (see below), whose sum is σ = 42460110. Its totient is φ = 4810752.

The previous prime is 14434843. The next prime is 14434859. The reversal of 14434848 is 84843441.

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 685584 = 3708^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14434841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 193 + ... + 5376.

Almost surely, 214434848 is an apocalyptic number.

14434848 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 14434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230055).

14434848 is an abundant number, since it is smaller than the sum of its proper divisors (28025262).

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

14434848 is an equidigital number, since it uses as much as digits as its factorization.

14434848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5574 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 14434848 is about 3799.3220447864. The cubic root of 14434848 is about 243.4841741096.

The spelling of 14434848 in words is "fourteen million, four hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5569 11138 16707 22276 33414 44552 50121 66828 89104 100242 133656 150363 178208 200484 267312 300726 400968 451089 534624 601452 801936 902178 1202904 1603872 1804356 2405808 3608712 4811616 7217424 14434848