Search a number
-
+
241855536 = 243135371103
BaseRepresentation
bin11100110101001…
…10110000110000
3121212002112102110
432122212300300
5443403334121
635555445320
75664511116
oct1632466060
9555075373
10241855536
1111458070a
1268bb6840
133b1505b0
1424199ab6
1516375d76
hexe6a6c30

241855536 has 160 divisors (see below), whose sum is σ = 701955072. Its totient is φ = 71285760.

The previous prime is 241855529. The next prime is 241855543. The reversal of 241855536 is 635558142.

It is an interprime number because it is at equal distance from previous prime (241855529) and next prime (241855543).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 241855494 and 241855503.

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 31 ways as a sum of consecutive naturals, for example, 2348061 + ... + 2348163.

Almost surely, 2241855536 is an apocalyptic number.

241855536 is a gapful number since it is divisible by the number (26) 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 241855536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

241855536 is an abundant number, since it is smaller than the sum of its proper divisors (460099536).

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

241855536 is a wasteful number, since it uses less digits than its factorization.

241855536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 241855536 is about 15551.7052441203. The cubic root of 241855536 is about 623.0439419120.

The spelling of 241855536 in words is "two hundred forty-one million, eight hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 71 78 103 104 106 142 156 159 206 208 212 213 284 309 312 318 412 424 426 568 618 624 636 689 824 848 852 923 1136 1236 1272 1339 1378 1648 1704 1846 2067 2472 2544 2678 2756 2769 3408 3692 3763 4017 4134 4944 5356 5459 5512 5538 7313 7384 7526 8034 8268 10712 10918 11024 11076 11289 14626 14768 15052 16068 16377 16536 21424 21836 21939 22152 22578 29252 30104 32136 32754 33072 43672 43878 44304 45156 48919 58504 60208 64272 65508 70967 87344 87756 90312 95069 97838 117008 131016 141934 146757 175512 180624 190138 195676 212901 262032 283868 285207 293514 351024 380276 387589 391352 425802 567736 570414 587028 760552 775178 782704 851604 1135472 1140828 1162767 1174056 1521104 1550356 1703208 2281656 2325534 2348112 3100712 3406416 4563312 4651068 5038657 6201424 9302136 10077314 15115971 18604272 20154628 30231942 40309256 60463884 80618512 120927768 241855536