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55614 = 23132331
BaseRepresentation
bin1101100100111110
32211021210
431210332
53234424
61105250
7321066
oct154476
984253
1055614
1138869
1228226
131c410
14163a6
1511729
hexd93e

55614 has 32 divisors (see below), whose sum is σ = 129024. Its totient is φ = 15840.

The previous prime is 55609. The next prime is 55619. The reversal of 55614 is 41655.

It can be divided in two parts, 5561 and 4, that added together give a triangular number (5565 = T105).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55609) and next prime (55619).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55619) by changing a digit.

55614 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, 1779 + ... + 1809.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

255614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

55614 is an abundant number, since it is smaller than the sum of its proper divisors (73410).

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

55614 is a wasteful number, since it uses less digits than its factorization.

55614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

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

The square root of 55614 is about 235.8262071950. The cubic root of 55614 is about 38.1705171667.

The spelling of 55614 in words is "fifty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 13 23 26 31 39 46 62 69 78 93 138 186 299 403 598 713 806 897 1209 1426 1794 2139 2418 4278 9269 18538 27807 55614