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235392 = 273613
BaseRepresentation
bin111001011110000000
3102221220020
4321132000
530013032
65013440
72000163
oct713600
9387806
10235392
11150943
12b4280
13831b1
1461ada
1549b2c
hex39780

235392 has 32 divisors (see below), whose sum is σ = 626280. Its totient is φ = 78336.

The previous prime is 235369. The next prime is 235397. The reversal of 235392 is 293532.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 235392.

It is not an unprimeable number, because it can be changed into a prime (235397) by changing a digit.

235392 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 3 ways as a sum of consecutive naturals, for example, 78 + ... + 690.

2235392 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 235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313140).

235392 is an abundant number, since it is smaller than the sum of its proper divisors (390888).

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

235392 is an equidigital number, since it uses as much as digits as its factorization.

235392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 235392 is about 485.1721344018. The cubic root of 235392 is about 61.7443514095.

The spelling of 235392 in words is "two hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 29424 39232 58848 78464 117696 235392