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14282752 = 21211317
BaseRepresentation
bin110110011111…
…000000000000
3222212122020211
4312133000000
512124022002
61230043504
7232254451
oct66370000
928778224
1014282752
118075930
124949594
132c61043
141c7b128
1513c1dd7
hexd9f000

14282752 has 52 divisors (see below), whose sum is σ = 31256856. Its totient is φ = 6471680.

The previous prime is 14282743. The next prime is 14282753. The reversal of 14282752 is 25728241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14282753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44898 + ... + 45214.

Almost surely, 214282752 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 14282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628428).

14282752 is an abundant number, since it is smaller than the sum of its proper divisors (16974104).

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

14282752 is an equidigital number, since it uses as much as digits as its factorization.

14282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 14282752 is about 3779.2528362098. The cubic root of 14282752 is about 242.6259776940.

The spelling of 14282752 in words is "fourteen million, two hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 317 352 512 634 704 1024 1268 1408 2048 2536 2816 3487 4096 5072 5632 6974 10144 11264 13948 20288 22528 27896 40576 45056 55792 81152 111584 162304 223168 324608 446336 649216 892672 1298432 1785344 3570688 7141376 14282752