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14285648 = 2413173397
BaseRepresentation
bin110110011111…
…101101010000
3222212210020002
4312133231100
512124120043
61230105132
7232266056
oct66375520
928783202
1014285648
118078023
12494b1a8
132c62460
141c7c1d6
1513c2bb8
hexd9fb50

14285648 has 40 divisors (see below), whose sum is σ = 30055368. Its totient is φ = 6538752.

The previous prime is 14285639. The next prime is 14285659. The reversal of 14285648 is 84658241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 10705984 = 1892^2 + 3272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35786 + ... + 36182.

Almost surely, 214285648 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 14285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027684).

14285648 is an abundant number, since it is smaller than the sum of its proper divisors (15769720).

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

14285648 is a wasteful number, since it uses less digits than its factorization.

14285648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 14285648 is about 3779.6359613063. The cubic root of 14285648 is about 242.6423750322.

The spelling of 14285648 in words is "fourteen million, two hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 397 692 794 1384 1588 2249 2768 3176 4498 5161 6352 8996 10322 17992 20644 35984 41288 68681 82576 137362 274724 549448 892853 1098896 1785706 3571412 7142824 14285648