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56232 = 23321171
BaseRepresentation
bin1101101110101000
32212010200
431232220
53244412
61112200
7322641
oct155650
985120
1056232
1139280
1228660
131c797
14166c8
15119dc
hexdba8

56232 has 48 divisors (see below), whose sum is σ = 168480. Its totient is φ = 16800.

The previous prime is 56209. The next prime is 56237. The reversal of 56232 is 23265.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

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

56232 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, 757 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

256232 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 56232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

56232 is an abundant number, since it is smaller than the sum of its proper divisors (112248).

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

56232 is a wasteful number, since it uses less digits than its factorization.

56232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 56232 is about 237.1328741444. The cubic root of 56232 is about 38.3113842000.

Adding to 56232 its reverse (23265), we get a palindrome (79497).

It can be divided in two parts, 5623 and 2, that added together give a square (5625 = 752).

The spelling of 56232 in words is "fifty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 56232