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4486272 = 27371669
BaseRepresentation
bin10001000111010010000000
322102221000020
4101013102000
52122030042
6240053440
753063340
oct21072200
98387006
104486272
11259466a
121604280
13c10ccb
1484ad20
155d93ec
hex447480

4486272 has 64 divisors (see below), whose sum is σ = 13627200. Its totient is φ = 1281024.

The previous prime is 4486259. The next prime is 4486297. The reversal of 4486272 is 2726844.

It is a tau number, because it is divible by the number of its divisors (64).

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854 + ... + 3522.

It is an arithmetic number, because the mean of its divisors is an integer number (212925).

Almost surely, 24486272 is an apocalyptic number.

4486272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813600).

4486272 is an abundant number, since it is smaller than the sum of its proper divisors (9140928).

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

4486272 is a wasteful number, since it uses less digits than its factorization.

4486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1681 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 4486272 is about 2118.0821513813. The cubic root of 4486272 is about 164.9283067782.

The spelling of 4486272 in words is "four million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1669 2688 3338 5007 6676 10014 11683 13352 20028 23366 26704 35049 40056 46732 53408 70098 80112 93464 106816 140196 160224 186928 213632 280392 320448 373856 560784 640896 747712 1121568 1495424 2243136 4486272