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56196 = 22327223
BaseRepresentation
bin1101101110000100
32212002100
431232010
53244241
61112100
7322560
oct155604
985070
1056196
1139248
1228630
131c76a
14166a0
15119b6
hexdb84

56196 has 36 divisors (see below), whose sum is σ = 163072. Its totient is φ = 15984.

The previous prime is 56179. The next prime is 56197. The reversal of 56196 is 69165.

56196 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56197) by changing a digit.

56196 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141 + ... + 363.

256196 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 56196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81536).

56196 is an abundant number, since it is smaller than the sum of its proper divisors (106876).

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

56196 is a wasteful number, since it uses less digits than its factorization.

56196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 56196 is about 237.0569551817. The cubic root of 56196 is about 38.3032067432.

Subtracting from 56196 its sum of digits (27), we obtain a square (56169 = 2372).

It can be divided in two parts, 5619 and 6, that added together give a square (5625 = 752).

The spelling of 56196 in words is "fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 669 892 1338 1561 2007 2676 3122 4014 4683 6244 8028 9366 14049 18732 28098 56196