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56056 = 23721113
BaseRepresentation
bin1101101011111000
32211220011
431223320
53243211
61111304
7322300
oct155370
984804
1056056
1139130
1228534
131c690
1416600
1511921
hexdaf8

56056 has 48 divisors (see below), whose sum is σ = 143640. Its totient is φ = 20160.

The previous prime is 56053. The next prime is 56081. The reversal of 56056 is 65065.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4306 + ... + 4318.

256056 is an apocalyptic number.

56056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

56056 is an abundant number, since it is smaller than the sum of its proper divisors (87584).

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

56056 is a wasteful number, since it uses less digits than its factorization.

56056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 56056 is about 236.7614833540. The cubic root of 56056 is about 38.2713722814.

Adding to 56056 its reverse (65065), we get a palindrome (121121).

Subtracting 56056 from its reverse (65065), we obtain a palindrome (9009).

It can be divided in two parts, 560 and 56, that added together give a palindrome (616).

The spelling of 56056 in words is "fifty-six thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 143 154 182 196 286 308 364 392 539 572 616 637 728 1001 1078 1144 1274 2002 2156 2548 4004 4312 5096 7007 8008 14014 28028 56056