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4491280 = 245311811
BaseRepresentation
bin10001001000100000010000
322110011212201
4101020200100
52122210110
6240132544
753114053
oct21104020
98404781
104491280
112598402
121607154
13c13381
1484ca9a
155dab3a
hex448810

4491280 has 40 divisors (see below), whose sum is σ = 10785024. Its totient is φ = 1737600.

The previous prime is 4491241. The next prime is 4491301. The reversal of 4491280 is 821944.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 3385.

Almost surely, 24491280 is an apocalyptic number.

4491280 is a gapful number since it is divisible by the number (40) 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 4491280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392512).

4491280 is an abundant number, since it is smaller than the sum of its proper divisors (6293744).

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

4491280 is a wasteful number, since it uses less digits than its factorization.

4491280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4491280 is about 2119.2640231930. The cubic root of 4491280 is about 164.9896534681.

The spelling of 4491280 in words is "four million, four hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1811 2480 3622 7244 9055 14488 18110 28976 36220 56141 72440 112282 144880 224564 280705 449128 561410 898256 1122820 2245640 4491280