Base | Representation |
---|---|
bin | 11101100011100… |
… | …01111100001000 |
3 | 122021112011220000 |
4 | 32301301330020 |
5 | 1001432240012 |
6 | 40334003000 |
7 | 6100242555 |
oct | 1661617410 |
9 | 567464800 |
10 | 247930632 |
11 | 117a4aa54 |
12 | 6b046460 |
13 | 3c499821 |
14 | 24cdba2c |
15 | 16b75ddc |
hex | ec71f08 |
247930632 has 80 divisors (see below), whose sum is σ = 699145260. Its totient is φ = 82083456.
The previous prime is 247930621. The next prime is 247930633. The reversal of 247930632 is 236039742.
It is a happy number.
247930632 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 241305156 + 6625476 = 15534^2 + 2574^2 .
It is a super-2 number, since 2×2479306322 = 122939196567838848, which contains 22 as substring.
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 (247930633) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100518 + ... + 102954.
Almost surely, 2247930632 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 247930632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349572630).
247930632 is an abundant number, since it is smaller than the sum of its proper divisors (451214628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247930632 is a wasteful number, since it uses less digits than its factorization.
247930632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2612 (or 2599 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 247930632 is about 15745.8131577890. The cubic root of 247930632 is about 628.2175467112.
The spelling of 247930632 in words is "two hundred forty-seven million, nine hundred thirty thousand, six hundred thirty-two".
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