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241383528 = 233223712053
BaseRepresentation
bin11100110001100…
…11100001101000
3121211012112221200
432120303201220
5443243233103
635541404200
75660504031
oct1630634150
9554175850
10241383528
11114289021
1268a09660
133b0167b9
14240b5a88
15162d10a3
hexe633868

241383528 has 96 divisors (see below), whose sum is σ = 692115840. Its totient is φ = 75841920.

The previous prime is 241383517. The next prime is 241383557. The reversal of 241383528 is 825383142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241383492 and 241383501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116550 + ... + 118602.

It is an arithmetic number, because the mean of its divisors is an integer number (7209540).

Almost surely, 2241383528 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 241383528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346057920).

241383528 is an abundant number, since it is smaller than the sum of its proper divisors (450732312).

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

241383528 is a wasteful number, since it uses less digits than its factorization.

241383528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 241383528 is about 15536.5223908055. The cubic root of 241383528 is about 622.6383647528.

The spelling of 241383528 in words is "two hundred forty-one million, three hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 92 138 142 184 207 213 276 284 414 426 552 568 639 828 852 1278 1633 1656 1704 2053 2556 3266 4106 4899 5112 6159 6532 8212 9798 12318 13064 14697 16424 18477 19596 24636 29394 36954 39192 47219 49272 58788 73908 94438 117576 141657 145763 147816 188876 283314 291526 377752 424971 437289 566628 583052 849942 874578 1133256 1166104 1311867 1699884 1749156 2623734 3352549 3399768 3498312 5247468 6705098 10057647 10494936 13410196 20115294 26820392 30172941 40230588 60345882 80461176 120691764 241383528