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56238 = 23713103
BaseRepresentation
bin1101101110101110
32212010220
431232232
53244423
61112210
7322650
oct155656
985126
1056238
1139286
1228666
131c7a0
14166d0
15119e3
hexdbae

56238 has 32 divisors (see below), whose sum is σ = 139776. Its totient is φ = 14688.

The previous prime is 56237. The next prime is 56239. The reversal of 56238 is 83265.

56238 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (56237) and next prime (56239).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

256238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

56238 is an abundant number, since it is smaller than the sum of its proper divisors (83538).

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

56238 is a wasteful number, since it uses less digits than its factorization.

56238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 1440, while the sum is 24.

The square root of 56238 is about 237.1455249420. The cubic root of 56238 is about 38.3127467701.

The spelling of 56238 in words is "fifty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 273 309 546 618 721 1339 1442 2163 2678 4017 4326 8034 9373 18746 28119 56238