Search a number
-
+
241297056 = 25357111331
BaseRepresentation
bin11100110000111…
…10011010100000
3121211001011100000
432120132122200
5443233001211
635535500000
75656663650
oct1630363240
9554034300
10241297056
1111422a060
1268987600
133acb6330
1424092360
15162b5656
hexe61e6a0

241297056 has 576 divisors, whose sum is σ = 986259456. Its totient is φ = 55987200.

The previous prime is 241297039. The next prime is 241297061. The reversal of 241297056 is 650792142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 241297056.

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 95 ways as a sum of consecutive naturals, for example, 7783761 + ... + 7783791.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2241297056 is an apocalyptic number.

241297056 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 241297056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

241297056 is an abundant number, since it is smaller than the sum of its proper divisors (744962400).

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

241297056 is a wasteful number, since it uses less digits than its factorization.

241297056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 241297056 is about 15533.7392793879. The cubic root of 241297056 is about 622.5640056121.

The spelling of 241297056 in words is "two hundred forty-one million, two hundred ninety-seven thousand, fifty-six".