Base | Representation |
---|---|
bin | 11001100100010… |
… | …001000000000000 |
3 | 1002220010021020120 |
4 | 121210101000000 |
5 | 1334301442331 |
6 | 110321340240 |
7 | 13425622551 |
oct | 3144210000 |
9 | 1086107216 |
10 | 428937216 |
11 | 20013a974 |
12 | bb797680 |
13 | 6ab33906 |
14 | 40d78328 |
15 | 279cc796 |
hex | 19911000 |
428937216 has 104 divisors (see below), whose sum is σ = 1162990944. Its totient is φ = 140574720.
The previous prime is 428937211. The next prime is 428937221. The reversal of 428937216 is 612739824.
It is an interprime number because it is at equal distance from previous prime (428937211) and next prime (428937221).
It is not an unprimeable number, because it can be changed into a prime (428937211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823036 + ... + 823556.
Almost surely, 2428937216 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 428937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581495472).
428937216 is an abundant number, since it is smaller than the sum of its proper divisors (734053728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428937216 is an equidigital number, since it uses as much as digits as its factorization.
428937216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 615 (or 593 counting only the distinct ones).
The product of its digits is 145152, while the sum is 42.
The square root of 428937216 is about 20710.7995017092. The cubic root of 428937216 is about 754.1618791851.
The spelling of 428937216 in words is "four hundred twenty-eight million, nine hundred thirty-seven thousand, two hundred sixteen".
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