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55146 = 23713101
BaseRepresentation
bin1101011101101010
32210122110
431131222
53231041
61103150
7316530
oct153552
983573
1055146
1138483
1227ab6
131c140
1416150
1511516
hexd76a

55146 has 32 divisors (see below), whose sum is σ = 137088. Its totient is φ = 14400.

The previous prime is 55127. The next prime is 55147. The reversal of 55146 is 64155.

It is a happy number.

55146 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (55147) by changing a digit.

55146 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 15 ways as a sum of consecutive naturals, for example, 496 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

255146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

55146 is an abundant number, since it is smaller than the sum of its proper divisors (81942).

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

55146 is a wasteful number, since it uses less digits than its factorization.

55146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 600, while the sum is 21.

The square root of 55146 is about 234.8318547387. The cubic root of 55146 is about 38.0631452432.

Subtracting 55146 from its reverse (64155), we obtain a palindrome (9009).

It can be divided in two parts, 5 and 5146, that added together give a triangular number (5151 = T101).

The spelling of 55146 in words is "fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 1313 1414 2121 2626 3939 4242 7878 9191 18382 27573 55146