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241488 = 24331343
BaseRepresentation
bin111010111101010000
3110021021000
4322331100
530211423
65102000
72024022
oct727520
9407230
10241488
11155485
12b7900
1385bc0
1464012
154b843
hex3af50

241488 has 80 divisors (see below), whose sum is σ = 763840. Its totient is φ = 72576.

The previous prime is 241469. The next prime is 241489. The reversal of 241488 is 884142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241489) by changing a digit.

241488 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 15 ways as a sum of consecutive naturals, for example, 5595 + ... + 5637.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2241488 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 241488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381920).

241488 is an abundant number, since it is smaller than the sum of its proper divisors (522352).

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

241488 is a wasteful number, since it uses less digits than its factorization.

241488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 241488 is about 491.4142855066. The cubic root of 241488 is about 62.2728178798.

It can be divided in two parts, 241 and 488, that added together give a 6-th power (729 = 36).

The spelling of 241488 in words is "two hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 43 48 52 54 72 78 86 104 108 117 129 144 156 172 208 216 234 258 312 344 351 387 432 468 516 559 624 688 702 774 936 1032 1118 1161 1404 1548 1677 1872 2064 2236 2322 2808 3096 3354 4472 4644 5031 5616 6192 6708 8944 9288 10062 13416 15093 18576 20124 26832 30186 40248 60372 80496 120744 241488