Search a number
-
+
56638296 = 233211135501
BaseRepresentation
bin1101100000001…
…1101101011000
310221120112010200
43120003231120
5103444411141
65341542200
71255263141
oct330035530
9127515120
1056638296
1129a75210
1216b74960
13b970ab0
147744ac8
154e8bab6
hex3603b58

56638296 has 96 divisors (see below), whose sum is σ = 180245520. Its totient is φ = 15840000.

The previous prime is 56638279. The next prime is 56638301. The reversal of 56638296 is 69283665.

It is a happy number.

56638296 is a `hidden beast` number, since 5 + 6 + 638 + 2 + 9 + 6 = 666.

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, 7546 + ... + 13046.

Almost surely, 256638296 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 56638296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90122760).

56638296 is an abundant number, since it is smaller than the sum of its proper divisors (123607224).

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

56638296 is a wasteful number, since it uses less digits than its factorization.

56638296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5530 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56638296 is about 7525.8418798165. The cubic root of 56638296 is about 384.0343393770.

The spelling of 56638296 in words is "fifty-six million, six hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 5501 10296 11002 16503 22004 33006 44008 49509 60511 66012 71513 99018 121022 132024 143026 181533 198036 214539 242044 286052 363066 396072 429078 484088 544599 572104 643617 726132 786643 858156 1089198 1287234 1452264 1573286 1716312 2178396 2359929 2574468 3146572 4356792 4719858 5148936 6293144 7079787 9439716 14159574 18879432 28319148 56638296