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288004405 = 5134430837
BaseRepresentation
bin10001001010101…
…001100100110101
3202001221010202211
4101022221210311
51042212120110
644324533421
710064665663
oct2112514465
9661833684
10288004405
11138630a77
1280551271
134788ab10
142a36dc33
151a43e98a
hex112a9935

288004405 has 8 divisors (see below), whose sum is σ = 372190392. Its totient is φ = 212680128.

The previous prime is 288004403. The next prime is 288004427. The reversal of 288004405 is 504400882.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 287879089 = 354^2 + 16967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288004405 - 21 = 288004403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2215354 + ... + 2215483.

It is an arithmetic number, because the mean of its divisors is an integer number (46523799).

Almost surely, 2288004405 is an apocalyptic number.

It is an amenable number.

288004405 is a deficient number, since it is larger than the sum of its proper divisors (84185987).

288004405 is a wasteful number, since it uses less digits than its factorization.

288004405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430855.

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 288004405 is about 16970.6925315380. The cubic root of 288004405 is about 660.3888166575.

The spelling of 288004405 in words is "two hundred eighty-eight million, four thousand, four hundred five".

Divisors: 1 5 13 65 4430837 22154185 57600881 288004405