Search a number
-
+
56836728 = 2335132173
BaseRepresentation
bin1101100011010…
…0001001111000
310221221121100000
43120310021320
5104022233403
65350113000
71260050514
oct330641170
9127847300
1056836728
112a0a0303
121704b760
13ba10200
147797144
154eca7a3
hex3634278

56836728 has 144 divisors (see below), whose sum is σ = 173857320. Its totient is φ = 17387136.

The previous prime is 56836727. The next prime is 56836751. The reversal of 56836728 is 82763865.

56836728 is a `hidden beast` number, since 568 + 3 + 67 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56836727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328450 + ... + 328622.

Almost surely, 256836728 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 56836728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86928660).

56836728 is an abundant number, since it is smaller than the sum of its proper divisors (117020592).

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

56836728 is a wasteful number, since it uses less digits than its factorization.

56836728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 56836728 is about 7539.0137285987. The cubic root of 56836728 is about 384.4823041285.

The spelling of 56836728 in words is "fifty-six million, eight hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 173 216 234 243 312 324 338 346 351 468 486 507 519 648 676 692 702 936 972 1014 1038 1053 1352 1384 1404 1521 1557 1944 2028 2076 2106 2249 2808 3042 3114 3159 4056 4152 4212 4498 4563 4671 6084 6228 6318 6747 8424 8996 9126 9342 12168 12456 12636 13494 13689 14013 17992 18252 18684 20241 25272 26988 27378 28026 29237 36504 37368 40482 41067 42039 53976 54756 56052 58474 60723 80964 82134 84078 87711 109512 112104 116948 121446 161928 164268 168156 175422 182169 233896 242892 263133 328536 336312 350844 364338 485784 526266 546507 701688 728676 789399 1052532 1093014 1457352 1578798 2105064 2186028 2368197 3157596 4372056 4736394 6315192 7104591 9472788 14209182 18945576 28418364 56836728