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14488248 = 23343101139
BaseRepresentation
bin110111010001…
…001010111000
31000021002010210
4313101022320
512202110443
61234311120
7234101535
oct67211270
930232123
1014488248
1181a6265
124a284a0
133003738
141cd1d8c
151412c33
hexdd12b8

14488248 has 64 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 4636800.

The previous prime is 14488247. The next prime is 14488249. The reversal of 14488248 is 84288441.

14488248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14488247) and next prime (14488249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14488247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104163 + ... + 104301.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 214488248 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 14488248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

14488248 is an abundant number, since it is smaller than the sum of its proper divisors (23210952).

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

14488248 is a wasteful number, since it uses less digits than its factorization.

14488248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 14488248 is about 3806.3431269396. The cubic root of 14488248 is about 243.7840515216.

The spelling of 14488248 in words is "fourteen million, four hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 101 129 139 172 202 258 278 303 344 404 417 516 556 606 808 834 1032 1112 1212 1668 2424 3336 4343 5977 8686 11954 13029 14039 17372 17931 23908 26058 28078 34744 35862 42117 47816 52116 56156 71724 84234 104232 112312 143448 168468 336936 603677 1207354 1811031 2414708 3622062 4829416 7244124 14488248