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53116 = 2272271
BaseRepresentation
bin1100111101111100
32200212021
430331330
53144431
61045524
7310600
oct147574
980767
1053116
11369a8
12268a4
131b23b
1415500
1510b11
hexcf7c

53116 has 18 divisors (see below), whose sum is σ = 108528. Its totient is φ = 22680.

The previous prime is 53113. The next prime is 53117. The reversal of 53116 is 61135.

It is a self number, because there is not a number n which added to its sum of digits gives 53116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61 + ... + 331.

253116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264).

53116 is an abundant number, since it is smaller than the sum of its proper divisors (55412).

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

53116 is a wasteful number, since it uses less digits than its factorization.

53116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 53116 is about 230.4690868642. The cubic root of 53116 is about 37.5902419223.

It can be divided in two parts, 53 and 116, that added together give a square (169 = 132).

The spelling of 53116 in words is "fifty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 271 542 1084 1897 3794 7588 13279 26558 53116