Base | Representation |
---|---|
bin | 11001100001100… |
… | …000000111010100 |
3 | 1002211202110101100 |
4 | 121201200013110 |
5 | 1334110301232 |
6 | 110254030100 |
7 | 13416514335 |
oct | 3141400724 |
9 | 1084673340 |
10 | 428212692 |
11 | 1aa795596 |
12 | bb4a8330 |
13 | 6a93bbbb |
14 | 40c2a28c |
15 | 278d7c7c |
hex | 198601d4 |
428212692 has 72 divisors (see below), whose sum is σ = 1138940712. Its totient is φ = 135475200.
The previous prime is 428212679. The next prime is 428212699. The reversal of 428212692 is 296212824.
It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 399440196 = 5364^2 + 19986^2 .
It is a super-2 number, since 2×4282126922 = 366732219179773728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (428212699) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50692 + ... + 58532.
It is an arithmetic number, because the mean of its divisors is an integer number (15818621).
Almost surely, 2428212692 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 428212692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569470356).
428212692 is an abundant number, since it is smaller than the sum of its proper divisors (710728020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428212692 is a wasteful number, since it uses less digits than its factorization.
428212692 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7929 (or 7924 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 428212692 is about 20693.3006550429. The cubic root of 428212692 is about 753.7370180020.
The spelling of 428212692 in words is "four hundred twenty-eight million, two hundred twelve thousand, six hundred ninety-two".
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