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14416424 = 2311253281
BaseRepresentation
bin110110111111…
…101000101000
31000010102121122
4312333220220
512142311144
61232554412
7233352251
oct66775050
930112548
1014416424
118157300
1249b2a08
132ca9b39
141cb3b28
1513eb7ee
hexdbfa28

14416424 has 48 divisors (see below), whose sum is σ = 30379860. Its totient is φ = 6406400.

The previous prime is 14416417. The next prime is 14416439. The reversal of 14416424 is 42461441.

It can be written as a sum of positive squares in 2 ways, for example, as 13823524 + 592900 = 3718^2 + 770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14416393 and 14416402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51164 + ... + 51444.

Almost surely, 214416424 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 14416424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189930).

14416424 is an abundant number, since it is smaller than the sum of its proper divisors (15963436).

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

14416424 is a wasteful number, since it uses less digits than its factorization.

14416424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 14416424 is about 3796.8966275104. The cubic root of 14416424 is about 243.3805392038.

Adding to 14416424 its reverse (42461441), we get a palindrome (56877865).

The spelling of 14416424 in words is "fourteen million, four hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 281 424 484 562 583 968 1124 1166 2248 2332 3091 4664 6182 6413 12364 12826 14893 24728 25652 29786 34001 51304 59572 68002 119144 136004 163823 272008 327646 655292 1310584 1802053 3604106 7208212 14416424