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55312 = 243457
BaseRepresentation
bin1101100000010000
32210212121
431200100
53232222
61104024
7320155
oct154020
983777
1055312
1138614
1228014
131c23a
141622c
15115c7
hexd810

55312 has 10 divisors (see below), whose sum is σ = 107198. Its totient is φ = 27648.

The previous prime is 55291. The next prime is 55313. The reversal of 55312 is 21355.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 24336 = 176^2 + 156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 3457 = 55312 / (5 + 5 + 3 + 1 + 2).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55313) by changing a digit.

55312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1713 + ... + 1744.

255312 is an apocalyptic number.

It is an amenable number.

55312 is a deficient number, since it is larger than the sum of its proper divisors (51886).

55312 is a wasteful number, since it uses less digits than its factorization.

55312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3459 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 55312 is about 235.1850335374. The cubic root of 55312 is about 38.1012994324.

Adding to 55312 its reverse (21355), we get a palindrome (76667).

It can be divided in two parts, 553 and 12, that added together give a palindrome (565).

The spelling of 55312 in words is "fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 3457 6914 13828 27656 55312