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53235 = 3257132
BaseRepresentation
bin1100111111110011
32201000200
430333303
53200420
61050243
7311130
oct147763
981020
1053235
1136aa6
1226983
131b300
1415587
1510b90
hexcff3

53235 has 36 divisors (see below), whose sum is σ = 114192. Its totient is φ = 22464.

The previous prime is 53233. The next prime is 53239.

It can be divided in two parts, 5 and 3235, that added together give a triangular number (3240 = T80).

53235 is nontrivially palindromic in base 2, base 4 and base 10.

It is not a de Polignac number, because 53235 - 21 = 53233 is a prime.

53235 is a lucky number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (53231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4089 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (3172).

253235 is an apocalyptic number.

53235 is an abundant number, since it is smaller than the sum of its proper divisors (60957).

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 (57096).

53235 is a wasteful number, since it uses less digits than its factorization.

53235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53235 is about 230.7271115409. The cubic root of 53235 is about 37.6182931206.

The spelling of 53235 in words is "fifty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 1183 1365 1521 2535 3549 4095 5915 7605 10647 17745 53235