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56983056 = 24313531723
BaseRepresentation
bin1101100101011…
…1111000010000
310222020001001120
43121113320100
5104041424211
65353202240
71261230234
oct331277020
9128201046
1056983056
112a190239
1217100380
13ba619b0
1477d45c4
155008d06
hex3657e10

56983056 has 80 divisors (see below), whose sum is σ = 161614656. Its totient is φ = 17192448.

The previous prime is 56983049. The next prime is 56983079. The reversal of 56983056 is 65038965.

56983056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 56982999 and 56983017.

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 15 ways as a sum of consecutive naturals, for example, 32211 + ... + 33933.

Almost surely, 256983056 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 56983056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80807328).

56983056 is an abundant number, since it is smaller than the sum of its proper divisors (104631600).

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

56983056 is a wasteful number, since it uses less digits than its factorization.

56983056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 56983056 is about 7548.7122080524. The cubic root of 56983056 is about 384.8119754285.

The spelling of 56983056 in words is "fifty-six million, nine hundred eighty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 1723 2067 2544 2756 3446 4134 5169 5512 6892 8268 10338 11024 13784 16536 20676 22399 27568 33072 41352 44798 67197 82704 89596 91319 134394 179192 182638 268788 273957 358384 365276 537576 547914 730552 1075152 1095828 1187147 1461104 2191656 2374294 3561441 4383312 4748588 7122882 9497176 14245764 18994352 28491528 56983056