Search a number
-
+
246969216 = 27331323239
BaseRepresentation
bin11101011100001…
…11001110000000
3122012201100002000
432232013032000
51001211003331
640301224000
76056126604
oct1656071600
9565640060
10246969216
1111745369a
126a862000
133c221040
1424b2b504
1516a360e6
hexeb87380

246969216 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 72382464.

The previous prime is 246969211. The next prime is 246969259. The reversal of 246969216 is 612969642.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246969211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1033225 + ... + 1033463.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2246969216 is an apocalyptic number.

246969216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

246969216 is an abundant number, since it is smaller than the sum of its proper divisors (575558784).

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

246969216 is a wasteful number, since it uses less digits than its factorization.

246969216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 246969216 is about 15715.2542454775. The cubic root of 246969216 is about 627.4044687720.

The spelling of 246969216 in words is "two hundred forty-six million, nine hundred sixty-nine thousand, two hundred sixteen".