Base | Representation |
---|---|
bin | 11101011100110… |
… | …01101001000000 |
3 | 122012212011120200 |
4 | 32232121221000 |
5 | 1001220412142 |
6 | 40303005200 |
7 | 6056562600 |
oct | 1656315100 |
9 | 565764520 |
10 | 247044672 |
11 | 1174a5356 |
12 | 6a899800 |
13 | 3c2494a4 |
14 | 24b4ac00 |
15 | 16a4d64c |
hex | eb99a40 |
247044672 has 126 divisors (see below), whose sum is σ = 823812678. Its totient is φ = 70576128.
The previous prime is 247044653. The next prime is 247044683. The reversal of 247044672 is 276440742.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 238887936 + 8156736 = 15456^2 + 2856^2 .
It is a tau number, because it is divible by the number of its divisors (126).
It is a super-2 number, since 2×2470446722 = 122062139927175168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23848 + ... + 32600.
Almost surely, 2247044672 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 247044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411906339).
247044672 is an abundant number, since it is smaller than the sum of its proper divisors (576768006).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247044672 is a wasteful number, since it uses less digits than its factorization.
247044672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8785 (or 8765 counting only the distinct ones).
The product of its (nonzero) digits is 75264, while the sum is 36.
The square root of 247044672 is about 15717.6547868949. The cubic root of 247044672 is about 627.4683588009.
The spelling of 247044672 in words is "two hundred forty-seven million, forty-four thousand, six hundred seventy-two".
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