Base | Representation |
---|---|
bin | 11001100001101… |
… | …000010000001100 |
3 | 1002211211011010000 |
4 | 121201220100030 |
5 | 1334112333103 |
6 | 110254444300 |
7 | 13420013460 |
oct | 3141502014 |
9 | 1084734100 |
10 | 428246028 |
11 | 1aa808641 |
12 | bb503690 |
13 | 6a951122 |
14 | 40c384a0 |
15 | 278e2aa3 |
hex | 1986840c |
428246028 has 120 divisors (see below), whose sum is σ = 1320940544. Its totient is φ = 118389600.
The previous prime is 428246009. The next prime is 428246033. The reversal of 428246028 is 820642824.
It is a happy number.
428246028 is a `hidden beast` number, since 4 + 28 + 24 + 602 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 428245983 and 428246001.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67263 + ... + 73353.
Almost surely, 2428246028 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 428246028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660470272).
428246028 is an abundant number, since it is smaller than the sum of its proper divisors (892694516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428246028 is a wasteful number, since it uses less digits than its factorization.
428246028 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6145 (or 6134 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 428246028 is about 20694.1061174432. The cubic root of 428246028 is about 753.7565767600.
The spelling of 428246028 in words is "four hundred twenty-eight million, two hundred forty-six thousand, twenty-eight".
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