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428583006 = 232131181757
BaseRepresentation
bin11001100010111…
…010100001011110
31002212110021100200
4121202322201132
51334204124011
6110310004330
713422616065
oct3142724136
91085407320
10428583006
111aaa18835
12bb6466a6
136aa3b617
1440cc51dc
152795c856
hex198ba85e

428583006 has 24 divisors (see below), whose sum is σ = 935690184. Its totient is φ = 141769680.

The previous prime is 428582953. The next prime is 428583007. The reversal of 428583006 is 600385824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428583007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88521 + ... + 93236.

It is an arithmetic number, because the mean of its divisors is an integer number (38987091).

Almost surely, 2428583006 is an apocalyptic number.

428583006 is an abundant number, since it is smaller than the sum of its proper divisors (507107178).

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

428583006 is a wasteful number, since it uses less digits than its factorization.

428583006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181896 (or 181893 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428583006 is about 20702.2463998475. The cubic root of 428583006 is about 753.9542301134.

The spelling of 428583006 in words is "four hundred twenty-eight million, five hundred eighty-three thousand, six".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 181757 363514 545271 1090542 1635813 3271626 23810167 47620334 71430501 142861002 214291503 428583006