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428706102 = 2311171812111
BaseRepresentation
bin11001100011011…
…000100100110110
31002212200112012210
4121203120210312
51334222043402
6110312354250
713423641006
oct3143304466
91085615183
10428706102
111aaaa2270
12bb6a5986
136aa82666
1440d18006
152798406c
hex198d8936

428706102 has 64 divisors (see below), whose sum is σ = 996323328. Its totient is φ = 121536000.

The previous prime is 428706079. The next prime is 428706121. The reversal of 428706102 is 201607824.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 428706102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202027 + ... + 204137.

It is an arithmetic number, because the mean of its divisors is an integer number (15567552).

Almost surely, 2428706102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428706102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498161664).

428706102 is an abundant number, since it is smaller than the sum of its proper divisors (567617226).

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

428706102 is a wasteful number, since it uses less digits than its factorization.

428706102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 428706102 is about 20705.2191971010. The cubic root of 428706102 is about 754.0264058372.

The spelling of 428706102 in words is "four hundred twenty-eight million, seven hundred six thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 181 187 362 374 543 561 1086 1122 1991 2111 3077 3982 4222 5973 6154 6333 9231 11946 12666 18462 23221 33847 35887 46442 67694 69663 71774 101541 107661 139326 203082 215322 382091 394757 764182 789514 1146273 1184271 2292546 2368542 4203001 6495547 8406002 12609003 12991094 19486641 25218006 38973282 71451017 142902034 214353051 428706102