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4005280 = 25525033
BaseRepresentation
bin1111010001110110100000
321112111012201
433101312200
52011132110
6221502544
746021126
oct17216640
97474181
104005280
112296254
121411a54
13aa30b6
14763916
15541b3a
hex3d1da0

4005280 has 24 divisors (see below), whose sum is σ = 9462852. Its totient is φ = 1602048.

The previous prime is 4005271. The next prime is 4005301. The reversal of 4005280 is 825004.

It is a happy number.

4005280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 364816 = 1908^2 + 604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12357 + ... + 12676.

Almost surely, 24005280 is an apocalyptic number.

4005280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005280 is an abundant number, since it is smaller than the sum of its proper divisors (5457572).

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

4005280 is a wasteful number, since it uses less digits than its factorization.

4005280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25048 (or 25040 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4005280 is about 2001.3195646873. The cubic root of 4005280 is about 158.8099201335.

The spelling of 4005280 in words is "four million, five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25033 50066 100132 125165 200264 250330 400528 500660 801056 1001320 2002640 4005280