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428588733 = 3314879463
BaseRepresentation
bin11001100010111…
…011111010111101
31002212110120012210
4121202323322331
51334204314413
6110310051033
713422641556
oct3142737275
91085416183
10428588733
111aaa22071
12bb649a79
136aa41101
1440cc732d
152795e3c3
hex198bbebd

428588733 has 16 divisors (see below), whose sum is σ = 591159296. Its totient is φ = 275911920.

The previous prime is 428588729. The next prime is 428588737. The reversal of 428588733 is 337885824.

It is an interprime number because it is at equal distance from previous prime (428588729) and next prime (428588737).

It is not a de Polignac number, because 428588733 - 22 = 428588729 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428588737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40560 + ... + 50022.

It is an arithmetic number, because the mean of its divisors is an integer number (36947456).

Almost surely, 2428588733 is an apocalyptic number.

It is an amenable number.

428588733 is a deficient number, since it is larger than the sum of its proper divisors (162570563).

428588733 is a wasteful number, since it uses less digits than its factorization.

428588733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984.

The product of its digits is 1290240, while the sum is 48.

The square root of 428588733 is about 20702.3847177082. The cubic root of 428588733 is about 753.9575883712.

The spelling of 428588733 in words is "four hundred twenty-eight million, five hundred eighty-eight thousand, seven hundred thirty-three".

Divisors: 1 3 31 93 487 1461 9463 15097 28389 45291 293353 880059 4608481 13825443 142862911 428588733