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56212 = 22132347
BaseRepresentation
bin1101101110010100
32212002221
431232110
53244322
61112124
7322612
oct155624
985087
1056212
1139262
1228644
131c780
14166b2
15119c7
hexdb94

56212 has 24 divisors (see below), whose sum is σ = 112896. Its totient is φ = 24288.

The previous prime is 56209. The next prime is 56237. The reversal of 56212 is 21265.

56212 = T33 + T34 + ... + T71.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

256212 is an apocalyptic number.

56212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56212 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

56212 is a wasteful number, since it uses less digits than its factorization.

56212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 56212 is about 237.0906999441. The cubic root of 56212 is about 38.3068415995.

Adding to 56212 its reverse (21265), we get a palindrome (77477).

The spelling of 56212 in words is "fifty-six thousand, two hundred twelve".

Divisors: 1 2 4 13 23 26 46 47 52 92 94 188 299 598 611 1081 1196 1222 2162 2444 4324 14053 28106 56212