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56273568 = 2531367673
BaseRepresentation
bin1101011010101…
…0101010100000
310220212222211020
43112222222200
5103401223233
65330045440
71252213611
oct326525240
9126788736
1056273568
112984618a
1216a19880
13b873a90
14768bc08
154e189b3
hex35aaaa0

56273568 has 96 divisors (see below), whose sum is σ = 161695296. Its totient is φ = 17031168.

The previous prime is 56273563. The next prime is 56273579. The reversal of 56273568 is 86537265.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56273561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83280 + ... + 83952.

It is an arithmetic number, because the mean of its divisors is an integer number (1684326).

Almost surely, 256273568 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 56273568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80847648).

56273568 is an abundant number, since it is smaller than the sum of its proper divisors (105421728).

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

56273568 is a wasteful number, since it uses less digits than its factorization.

56273568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 56273568 is about 7501.5710354565. The cubic root of 56273568 is about 383.2082209640.

The spelling of 56273568 in words is "fifty-six million, two hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 673 804 871 1072 1248 1346 1608 1742 2019 2144 2613 2692 3216 3484 4038 5226 5384 6432 6968 8076 8749 10452 10768 13936 16152 17498 20904 21536 26247 27872 32304 34996 41808 45091 52494 64608 69992 83616 90182 104988 135273 139984 180364 209976 270546 279968 360728 419952 541092 586183 721456 839904 1082184 1172366 1442912 1758549 2164368 2344732 3517098 4328736 4689464 7034196 9378928 14068392 18757856 28136784 56273568