Search a number
-
+
14614248 = 23311197281
BaseRepresentation
bin110111101111…
…111011101000
31000111110222110
4313233323220
512220123443
61241122320
7235135065
oct67577350
930443873
1014614248
1182819a0
124a893a0
133048bac
141d25c6c
15143a233
hexdefee8

14614248 has 64 divisors (see below), whose sum is σ = 40201920. Its totient is φ = 4390400.

The previous prime is 14614219. The next prime is 14614253. The reversal of 14614248 is 84241641.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51868 + ... + 52148.

It is an arithmetic number, because the mean of its divisors is an integer number (628155).

Almost surely, 214614248 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 14614248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100960).

14614248 is an abundant number, since it is smaller than the sum of its proper divisors (25587672).

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

14614248 is a wasteful number, since it uses less digits than its factorization.

14614248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14614248 is about 3822.8586162713. The cubic root of 14614248 is about 244.4887185798.

Adding to 14614248 its reverse (84241641), we get a palindrome (98855889).

The spelling of 14614248 in words is "fourteen million, six hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 281 394 562 591 788 843 1124 1182 1576 1686 2167 2248 2364 3091 3372 4334 4728 6182 6501 6744 8668 9273 12364 13002 17336 18546 24728 26004 37092 52008 55357 74184 110714 166071 221428 332142 442856 608927 664284 1217854 1328568 1826781 2435708 3653562 4871416 7307124 14614248