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428550066 = 232713924469
BaseRepresentation
bin11001100010110…
…010011110110010
31002212101121011200
4121202302132302
51334202100231
6110305152030
713422421050
oct3142623662
91085347150
10428550066
111aa9a600a
12bb62b616
136aa29629
1440cb71d0
1527952be6
hex198b27b2

428550066 has 48 divisors (see below), whose sum is σ = 1068849600. Its totient is φ = 121557024.

The previous prime is 428550049. The next prime is 428550097. The reversal of 428550066 is 660055824.

428550066 is a `hidden beast` number, since 42 + 8 + 550 + 0 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428550066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5280 + ... + 29748.

It is an arithmetic number, because the mean of its divisors is an integer number (22267700).

Almost surely, 2428550066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428550066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534424800).

428550066 is an abundant number, since it is smaller than the sum of its proper divisors (640299534).

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

428550066 is a wasteful number, since it uses less digits than its factorization.

428550066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24623 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 428550066 is about 20701.4508187228. The cubic root of 428550066 is about 753.9349138330.

The spelling of 428550066 in words is "four hundred twenty-eight million, five hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 17514 24469 48938 73407 146814 171283 220221 342566 440442 513849 1027698 1541547 3083094 3401191 6802382 10203573 20407146 23808337 30610719 47616674 61221438 71425011 142850022 214275033 428550066