Search a number
-
+
247830016 = 29769149
BaseRepresentation
bin11101100010110…
…01011000000000
3122021100001212111
432301121120000
51001421030031
640331505104
76066343330
oct1661313000
9567301774
10247830016
111179913a5
126abb8194
133c462aa5
1424cb30c0
1516b561b1
hexec59600

247830016 has 40 divisors (see below), whose sum is σ = 565923600. Its totient is φ = 106211328.

The previous prime is 247830001. The next prime is 247830047. The reversal of 247830016 is 610038742.

It is a super-2 number, since 2×2478300162 = 122839433661120512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247830016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30991 + ... + 38158.

It is an arithmetic number, because the mean of its divisors is an integer number (14148090).

Almost surely, 2247830016 is an apocalyptic number.

It is an amenable number.

247830016 is an abundant number, since it is smaller than the sum of its proper divisors (318093584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247830016 is an frugal number, since it uses more digits than its factorization.

247830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69174 (or 69158 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 247830016 is about 15742.6178255079. The cubic root of 247830016 is about 628.1325534631.

Adding to 247830016 its reverse (610038742), we get a palindrome (857868758).

The spelling of 247830016 in words is "two hundred forty-seven million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 69149 138298 276596 484043 553192 968086 1106384 1936172 2212768 3872344 4425536 7744688 8851072 15489376 17702144 30978752 35404288 61957504 123915008 247830016