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56684208 = 2437732311
BaseRepresentation
bin1101100000111…
…0111010110000
310221122212010010
43120032322300
5104002343313
65342534520
71255544040
oct330167260
9127585103
1056684208
1129aa6759
1216b97440
13b988969
147757720
154e9a4c3
hex360eeb0

56684208 has 80 divisors (see below), whose sum is σ = 169719296. Its totient is φ = 15966720.

The previous prime is 56684207. The next prime is 56684227. The reversal of 56684208 is 80248665.

56684208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56684207) 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 15 ways as a sum of consecutive naturals, for example, 23373 + ... + 25683.

Almost surely, 256684208 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 56684208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84859648).

56684208 is an abundant number, since it is smaller than the sum of its proper divisors (113035088).

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

56684208 is a wasteful number, since it uses less digits than its factorization.

56684208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 56684208 is about 7528.8915518820. The cubic root of 56684208 is about 384.1380796833.

The spelling of 56684208 in words is "fifty-six million, six hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 2311 3066 3504 4088 4622 6132 6933 8176 9244 12264 13866 16177 18488 24528 27732 32354 36976 48531 55464 64708 97062 110928 129416 168703 194124 258832 337406 388248 506109 674812 776496 1012218 1180921 1349624 2024436 2361842 2699248 3542763 4048872 4723684 7085526 8097744 9447368 14171052 18894736 28342104 56684208