Base | Representation |
---|---|
bin | 11100011111110… |
… | …111111000101100 |
3 | 1020022122212210121 |
4 | 130133313320230 |
5 | 1434344224140 |
6 | 115235414324 |
7 | 14563634224 |
oct | 3437677054 |
9 | 1208585717 |
10 | 478117420 |
11 | 225980770 |
12 | 1141543a4 |
13 | 78092b21 |
14 | 476db084 |
15 | 2be9464a |
hex | 1c7f7e2c |
478117420 has 48 divisors (see below), whose sum is σ = 1098655488. Its totient is φ = 173332160.
The previous prime is 478117373. The next prime is 478117429. The reversal of 478117420 is 24711874.
It is not an unprimeable number, because it can be changed into a prime (478117429) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73209 + ... + 79471.
It is an arithmetic number, because the mean of its divisors is an integer number (22888656).
Almost surely, 2478117420 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 478117420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549327744).
478117420 is an abundant number, since it is smaller than the sum of its proper divisors (620538068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
478117420 is a wasteful number, since it uses less digits than its factorization.
478117420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6630 (or 6628 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 34.
The square root of 478117420 is about 21865.8962770795. The cubic root of 478117420 is about 781.9485688185.
It can be divided in two parts, 4781 and 17420, that added together give a square (22201 = 1492).
The spelling of 478117420 in words is "four hundred seventy-eight million, one hundred seventeen thousand, four hundred twenty".
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