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241248 = 2537359
BaseRepresentation
bin111010111001100000
3110020221010
4322321200
530204443
65100520
72023230
oct727140
9406833
10241248
11155287
12b7740
1385a67
1463cc0
154b733
hex3ae60

241248 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 68736.

The previous prime is 241229. The next prime is 241249. The reversal of 241248 is 842142.

241248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2412483 = 42122333239934976, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a nialpdrome in base 12.

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 241248.

It is not an unprimeable number, because it can be changed into a prime (241249) by changing a digit.

241248 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 7 ways as a sum of consecutive naturals, for example, 493 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2241248 is an apocalyptic number.

241248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

241248 is an abundant number, since it is smaller than the sum of its proper divisors (484512).

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

241248 is a wasteful number, since it uses less digits than its factorization.

241248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 241248 is about 491.1700316591. The cubic root of 241248 is about 62.2521813400.

The spelling of 241248 in words is "two hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 359 672 718 1077 1436 2154 2513 2872 4308 5026 5744 7539 8616 10052 11488 15078 17232 20104 30156 34464 40208 60312 80416 120624 241248