Base | Representation |
---|---|
bin | 110111011101100… |
… | …110011011101000 |
3 | 2101211220121220200 |
4 | 313131212123220 |
5 | 3401202201342 |
6 | 232155552200 |
7 | 32026113600 |
oct | 6735463350 |
9 | 2354817820 |
10 | 930506472 |
11 | 438279315 |
12 | 21b75b660 |
13 | 11aa1805c |
14 | 8b81bc00 |
15 | 56a5594c |
hex | 377666e8 |
930506472 has 144 divisors (see below), whose sum is σ = 2972551140. Its totient is φ = 262144512.
The previous prime is 930506471. The next prime is 930506483. The reversal of 930506472 is 274605039.
930506472 is a `hidden beast` number, since 9 + 3 + 0 + 5 + 0 + 647 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 822886596 + 107619876 = 28686^2 + 10374^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (930506471) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255738 + ... + 259350.
Almost surely, 2930506472 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 930506472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486275570).
930506472 is an abundant number, since it is smaller than the sum of its proper divisors (2042044668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
930506472 is a wasteful number, since it uses less digits than its factorization.
930506472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3712 (or 3698 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 930506472 is about 30504.2041692617. The cubic root of 930506472 is about 976.2771681012.
The spelling of 930506472 in words is "nine hundred thirty million, five hundred six thousand, four hundred seventy-two".
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