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235488 = 25311223
BaseRepresentation
bin111001011111100000
3102222000210
4321133200
530013423
65014120
72000361
oct713740
9388023
10235488
11150a20
12b4340
1383256
1461b68
1549b93
hex397e0

235488 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 71040.

The previous prime is 235483. The next prime is 235489. The reversal of 235488 is 884532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2 + 310 + 48 + 57 + 8 + 85 .

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 235488.

It is not an unprimeable number, because it can be changed into a prime (235483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2235488 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 235488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

235488 is an abundant number, since it is smaller than the sum of its proper divisors (441888).

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

235488 is a wasteful number, since it uses less digits than its factorization.

235488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 235488 is about 485.2710582757. The cubic root of 235488 is about 61.7527440087.

It can be divided in two parts, 2354 and 88, that added together give a palindrome (2442).

The spelling of 235488 in words is "two hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 264 352 446 528 669 892 1056 1338 1784 2453 2676 3568 4906 5352 7136 7359 9812 10704 14718 19624 21408 29436 39248 58872 78496 117744 235488