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53814 = 238969
BaseRepresentation
bin1101001000110110
32201211010
431020312
53210224
61053050
7312615
oct151066
981733
1053814
1137482
1227186
131b657
141587c
1510e29
hexd236

53814 has 8 divisors (see below), whose sum is σ = 107640. Its totient is φ = 17936.

The previous prime is 53813. The next prime is 53819. The reversal of 53814 is 41835.

53814 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 sphenic number, since it is the product of 3 distinct primes.

53814 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53814.

It is not an unprimeable number, because it can be changed into a prime (53813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4479 + ... + 4490.

It is an arithmetic number, because the mean of its divisors is an integer number (13455).

253814 is an apocalyptic number.

53814 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820).

53814 is a wasteful number, since it uses less digits than its factorization.

53814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974.

The product of its digits is 480, while the sum is 21.

The square root of 53814 is about 231.9784472747. The cubic root of 53814 is about 37.7541842942.

Adding to 53814 its sum of digits (21), we get a palindrome (53835).

The spelling of 53814 in words is "fifty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 8969 17938 26907 53814