Search a number
-
+
56096712 = 2334783149
BaseRepresentation
bin1101010111111…
…1011111001000
310220120000020000
43111333133020
5103330043322
65322203000
71250546160
oct325773710
9126500200
1056096712
1129735321
1216953460
13b811429
1476435a0
154dd13ac
hex357f7c8

56096712 has 160 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 15728256.

The previous prime is 56096687. The next prime is 56096717. The reversal of 56096712 is 21769065.

56096712 is a `hidden beast` number, since 560 + 96 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56096717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376414 + ... + 376562.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 256096712 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 56096712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

56096712 is an abundant number, since it is smaller than the sum of its proper divisors (126855288).

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

56096712 is a wasteful number, since it uses less digits than its factorization.

56096712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56096712 is about 7489.7738283609. The cubic root of 56096712 is about 382.8063520334.

It can be divided in two parts, 5609 and 6712, that added together give a palindrome (12321).

The spelling of 56096712 in words is "fifty-six million, ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 83 84 108 126 149 162 166 168 189 216 249 252 298 324 332 378 447 498 504 567 581 596 648 664 747 756 894 996 1043 1134 1162 1192 1341 1494 1512 1743 1788 1992 2086 2241 2268 2324 2682 2988 3129 3486 3576 4023 4172 4482 4536 4648 5229 5364 5976 6258 6723 6972 8046 8344 8964 9387 10458 10728 12069 12367 12516 13446 13944 15687 16092 17928 18774 20916 24138 24734 25032 26892 28161 31374 32184 37101 37548 41832 47061 48276 49468 53784 56322 62748 74202 75096 84483 86569 94122 96552 98936 111303 112644 125496 148404 168966 173138 188244 222606 225288 259707 296808 333909 337932 346276 376488 445212 519414 667818 675864 692552 779121 890424 1001727 1038828 1335636 1558242 2003454 2077656 2337363 2671272 3116484 4006908 4674726 6232968 7012089 8013816 9349452 14024178 18698904 28048356 56096712