Base | Representation |
---|---|
bin | 11001100011100… |
… | …000100100010000 |
3 | 1002212202012010000 |
4 | 121203200210100 |
5 | 1334224120312 |
6 | 110313210000 |
7 | 13424135304 |
oct | 3143404420 |
9 | 1085665100 |
10 | 428738832 |
11 | 200014915 |
12 | bb700900 |
13 | 6aa94522 |
14 | 40d25d04 |
15 | 2798dadc |
hex | 198e0910 |
428738832 has 100 divisors (see below), whose sum is σ = 1274574796. Its totient is φ = 139034880.
The previous prime is 428738803. The next prime is 428738851. The reversal of 428738832 is 238837824.
It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 90326016 = 18396^2 + 9504^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43482 + ... + 52422.
Almost surely, 2428738832 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 428738832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637287398).
428738832 is an abundant number, since it is smaller than the sum of its proper divisors (845835964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428738832 is a wasteful number, since it uses less digits than its factorization.
428738832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8998 (or 8983 counting only the distinct ones).
The product of its digits is 516096, while the sum is 45.
The square root of 428738832 is about 20706.0095624435. The cubic root of 428738832 is about 754.0455943178.
The spelling of 428738832 in words is "four hundred twenty-eight million, seven hundred thirty-eight thousand, eight hundred thirty-two".
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