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52614 = 2323779
BaseRepresentation
bin1100110110000110
32200011200
430312012
53140424
61043330
7306252
oct146606
980150
1052614
1136591
1226546
131ac43
1415262
15108c9
hexcd86

52614 has 24 divisors (see below), whose sum is σ = 118560. Its totient is φ = 16848.

The previous prime is 52609. The next prime is 52627. The reversal of 52614 is 41625.

It is a happy number.

52614 is a `hidden beast` number, since 52 + 614 = 666.

52614 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

52614 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, 627 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

252614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59280).

52614 is an abundant number, since it is smaller than the sum of its proper divisors (65946).

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

52614 is a wasteful number, since it uses less digits than its factorization.

52614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 52614 is about 229.3774182434. The cubic root of 52614 is about 37.4714449284.

It can be divided in two parts, 52 and 614, that added together give a palindrome (666).

The spelling of 52614 in words is "fifty-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 79 111 158 222 237 333 474 666 711 1422 2923 5846 8769 17538 26307 52614