Search a number
-
+
56284340 = 2257279727
BaseRepresentation
bin1101011010110…
…1010010110100
310220220112121012
43112231102310
5103402044330
65330211352
71252260200
oct326552264
9126815535
1056284340
1129853292
1216a23b58
13b878958
147691b00
154e1bc95
hex35ad4b4

56284340 has 72 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 19027008.

The previous prime is 56284337. The next prime is 56284351. The reversal of 56284340 is 4348265.

It is a junction number, because it is equal to n+sod(n) for n = 56284297 and 56284306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77057 + ... + 77783.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 256284340 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 56284340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

56284340 is an abundant number, since it is smaller than the sum of its proper divisors (83142220).

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

56284340 is a wasteful number, since it uses less digits than its factorization.

56284340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 56284340 is about 7502.2889840368. The cubic root of 56284340 is about 383.2326709011.

The spelling of 56284340 in words is "fifty-six million, two hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 727 790 980 1106 1454 1580 2212 2765 2908 3635 3871 5089 5530 7270 7742 10178 11060 14540 15484 19355 20356 25445 35623 38710 50890 57433 71246 77420 101780 114866 142492 178115 229732 287165 356230 402031 574330 712460 804062 1148660 1608124 2010155 2814217 4020310 5628434 8040620 11256868 14071085 28142170 56284340