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235352 = 23133173
BaseRepresentation
bin111001011101011000
3102221211202
4321131120
530012402
65013332
72000105
oct713530
9387752
10235352
11150907
12b4248
1383180
1461aac
1549b02
hex39758

235352 has 32 divisors (see below), whose sum is σ = 497280. Its totient is φ = 103680.

The previous prime is 235349. The next prime is 235369. The reversal of 235352 is 253532.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3188 + ... + 3260.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2235352 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 235352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248640).

235352 is an abundant number, since it is smaller than the sum of its proper divisors (261928).

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

235352 is a wasteful number, since it uses less digits than its factorization.

235352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 900, while the sum is 20.

The square root of 235352 is about 485.1309101676. The cubic root of 235352 is about 61.7408538197.

Adding to 235352 its reverse (253532), we get a palindrome (488884).

The spelling of 235352 in words is "two hundred thirty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 73 104 124 146 248 292 403 584 806 949 1612 1898 2263 3224 3796 4526 7592 9052 18104 29419 58838 117676 235352