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428672583 = 32591017993
BaseRepresentation
bin11001100011010…
…000011001000111
31002212121211020100
4121203100121013
51334220010313
6110311535143
713423441203
oct3143203107
91085554210
10428672583
111aaa7a069
12bb68a4b3
136aa70321
1440d09b03
1527979173
hex198d0647

428672583 has 24 divisors (see below), whose sum is σ = 636002640. Its totient is φ = 278121600.

The previous prime is 428672579. The next prime is 428672603. The reversal of 428672583 is 385276824.

428672583 is a `hidden beast` number, since 4 + 2 + 8 + 67 + 2 + 583 = 666.

It is not a de Polignac number, because 428672583 - 22 = 428672579 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428672513) 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 23 ways as a sum of consecutive naturals, for example, 49635 + ... + 57627.

It is an arithmetic number, because the mean of its divisors is an integer number (26500110).

Almost surely, 2428672583 is an apocalyptic number.

428672583 is a deficient number, since it is larger than the sum of its proper divisors (207330057).

428672583 is a wasteful number, since it uses less digits than its factorization.

428672583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8156 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 428672583 is about 20704.4097476842. The cubic root of 428672583 is about 754.0067537805.

The spelling of 428672583 in words is "four hundred twenty-eight million, six hundred seventy-two thousand, five hundred eighty-three".

Divisors: 1 3 9 59 101 177 303 531 909 5959 7993 17877 23979 53631 71937 471587 807293 1414761 2421879 4244283 7265637 47630287 142890861 428672583