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243601056 = 25327091193
BaseRepresentation
bin11101000010100…
…00111010100000
3121222101012211100
432201100322200
5444330213211
640101114400
76015401106
oct1641207240
9558335740
10243601056
11115563096
12696b8a00
133b611c4a
14244d1c76
15165bd156
hexe850ea0

243601056 has 72 divisors (see below), whose sum is σ = 694299060. Its totient is φ = 81017856.

The previous prime is 243601031. The next prime is 243601097. The reversal of 243601056 is 650106342.

243601056 is a `hidden beast` number, since 2 + 4 + 3 + 601 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234090000 + 9511056 = 15300^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 203596 + ... + 204788.

Almost surely, 2243601056 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 243601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347149530).

243601056 is an abundant number, since it is smaller than the sum of its proper divisors (450698004).

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

243601056 is a wasteful number, since it uses less digits than its factorization.

243601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 243601056 is about 15607.7242415414. The cubic root of 243601056 is about 624.5392281731.

Adding to 243601056 its reverse (650106342), we get a palindrome (893707398).

The spelling of 243601056 in words is "two hundred forty-three million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 709 1193 1418 2127 2386 2836 3579 4254 4772 5672 6381 7158 8508 9544 10737 11344 12762 14316 17016 19088 21474 22688 25524 28632 34032 38176 42948 51048 57264 68064 85896 102096 114528 171792 204192 343584 845837 1691674 2537511 3383348 5075022 6766696 7612533 10150044 13533392 15225066 20300088 27066784 30450132 40600176 60900264 81200352 121800528 243601056