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14443264 = 281123223
BaseRepresentation
bin110111000110…
…001100000000
31000011210102201
4313012030000
512144141024
61233322544
7233523433
oct67061400
930153381
1014443264
118175490
124a06454
132cb9114
141cbd81a
151404744
hexdc6300

14443264 has 72 divisors (see below), whose sum is σ = 32965632. Its totient is φ = 6251520.

The previous prime is 14443237. The next prime is 14443277. The reversal of 14443264 is 46234441.

It is a nialpdrome in base 16.

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, 64657 + ... + 64879.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 214443264 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 14443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482816).

14443264 is an abundant number, since it is smaller than the sum of its proper divisors (18522368).

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

14443264 is a wasteful number, since it uses less digits than its factorization.

14443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 14443264 is about 3800.4294494175. The cubic root of 14443264 is about 243.5314847265.

It can be divided in two parts, 144 and 43264, that multiplied together give a square (6230016 = 24962).

The spelling of 14443264 in words is "fourteen million, four hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 223 253 256 352 368 446 506 704 736 892 1012 1408 1472 1784 2024 2453 2816 2944 3568 4048 4906 5129 5888 7136 8096 9812 10258 14272 16192 19624 20516 28544 32384 39248 41032 56419 57088 64768 78496 82064 112838 156992 164128 225676 313984 328256 451352 627968 656512 902704 1313024 1805408 3610816 7221632 14443264