Search a number
-
+
56057976 = 233213217271
BaseRepresentation
bin1101010111011…
…0000001111000
310220111001002100
43111312001320
5103322323401
65321303400
71250325222
oct325660170
9126431070
1056057976
1129709207
1216934b60
13b7c9900
147633412
154dc4b86
hex3576078

56057976 has 144 divisors (see below), whose sum is σ = 174713760. Its totient is φ = 16174080.

The previous prime is 56057971. The next prime is 56057977. The reversal of 56057976 is 67975065.

It is a happy number.

56057976 is a `hidden beast` number, since 5 + 6 + 0 + 579 + 76 = 666.

56057976 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 (56057971) 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 35 ways as a sum of consecutive naturals, for example, 206721 + ... + 206991.

It is an arithmetic number, because the mean of its divisors is an integer number (1213290).

Almost surely, 256057976 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 56057976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87356880).

56057976 is an abundant number, since it is smaller than the sum of its proper divisors (118655784).

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

56057976 is a wasteful number, since it uses less digits than its factorization.

56057976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56057976 is about 7487.1874559143. The cubic root of 56057976 is about 382.7182197066.

The spelling of 56057976 in words is "fifty-six million, fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 169 204 221 234 271 306 312 338 408 442 468 507 542 612 663 676 813 884 936 1014 1084 1224 1326 1352 1521 1626 1768 1989 2028 2168 2439 2652 2873 3042 3252 3523 3978 4056 4607 4878 5304 5746 6084 6504 7046 7956 8619 9214 9756 10569 11492 12168 13821 14092 15912 17238 18428 19512 21138 22984 25857 27642 28184 31707 34476 36856 41463 42276 45799 51714 55284 59891 63414 68952 82926 84552 91598 103428 110568 119782 126828 137397 165852 179673 183196 206856 239564 253656 274794 331704 359346 366392 412191 479128 539019 549588 718692 778583 824382 1078038 1099176 1437384 1557166 1648764 2156076 2335749 3114332 3297528 4312152 4671498 6228664 7007247 9342996 14014494 18685992 28028988 56057976