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56116224 = 210326089
BaseRepresentation
bin1101011000010…
…0010000000000
310220120222222200
43112010100000
5103331204344
65322433200
71250660103
oct326042000
9126528880
1056116224
1129748a4a
1216962800
13b81a288
14764a73a
154dd7069
hex3584400

56116224 has 66 divisors (see below), whose sum is σ = 162060990. Its totient is φ = 18702336.

The previous prime is 56116219. The next prime is 56116259. The reversal of 56116224 is 42261165.

It can be written as a sum of positive squares in only one way, i.e., 41370624 + 14745600 = 6432^2 + 3840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6172 + ... + 12260.

Almost surely, 256116224 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 56116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81030495).

56116224 is an abundant number, since it is smaller than the sum of its proper divisors (105944766).

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

56116224 is a wasteful number, since it uses less digits than its factorization.

56116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6094 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56116224 is about 7491.0762911614. The cubic root of 56116224 is about 382.8507304615.

Adding to 56116224 its reverse (42261165), we get a palindrome (98377389).

The spelling of 56116224 in words is "fifty-six million, one hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 6089 9216 12178 18267 24356 36534 48712 54801 73068 97424 109602 146136 194848 219204 292272 389696 438408 584544 779392 876816 1169088 1558784 1753632 2338176 3117568 3507264 4676352 6235136 7014528 9352704 14029056 18705408 28058112 56116224