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56982208 = 2653107157
BaseRepresentation
bin1101100101011…
…1101011000000
310222012222220011
43121113223000
5104041412313
65353154304
71261224613
oct331275300
9128188804
1056982208
112a18a638
12170bb994
13ba614aa
1477d417a
15500893d
hex3657ac0

56982208 has 56 divisors (see below), whose sum is σ = 117024912. Its totient is φ = 27515904.

The previous prime is 56982193. The next prime is 56982209. The reversal of 56982208 is 80228965.

56982208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56982209) 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 7 ways as a sum of consecutive naturals, for example, 362866 + ... + 363022.

Almost surely, 256982208 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 56982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58512456).

56982208 is an abundant number, since it is smaller than the sum of its proper divisors (60042704).

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

56982208 is a wasteful number, since it uses less digits than its factorization.

56982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 56982208 is about 7548.6560393225. The cubic root of 56982208 is about 384.8100665442.

The spelling of 56982208 in words is "fifty-six million, nine hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 107 157 212 214 314 424 428 628 848 856 1256 1696 1712 2512 3392 3424 5024 5671 6848 8321 10048 11342 16642 16799 22684 33284 33598 45368 66568 67196 90736 133136 134392 181472 266272 268784 362944 532544 537568 890347 1075136 1780694 3561388 7122776 14245552 28491104 56982208