Search a number
-
+
41611230 = 232529107149
BaseRepresentation
bin1001111010111…
…0111111011110
32220022001212200
42132232333132
541123024410
64043512330
71013455353
oct236567736
986261780
1041611230
1121541151
1211b286a6
13880c03b
14575262a
1539be3c0
hex27aefde

41611230 has 96 divisors (see below), whose sum is σ = 113724000. Its totient is φ = 10542336.

The previous prime is 41611181. The next prime is 41611231. The reversal of 41611230 is 3211614.

It is a happy number.

It is a super-2 number, since 2×416112302 = 3462988924225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41611231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279196 + ... + 279344.

It is an arithmetic number, because the mean of its divisors is an integer number (1184625).

Almost surely, 241611230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41611230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56862000).

41611230 is an abundant number, since it is smaller than the sum of its proper divisors (72112770).

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

41611230 is a wasteful number, since it uses less digits than its factorization.

41611230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41611230 is about 6450.6767086872. The cubic root of 41611230 is about 346.5268183861.

Adding to 41611230 its reverse (3211614), we get a palindrome (44822844).

The spelling of 41611230 in words is "forty-one million, six hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 107 145 149 174 214 261 290 298 321 435 447 522 535 642 745 870 894 963 1070 1305 1341 1490 1605 1926 2235 2610 2682 3103 3210 4321 4470 4815 6206 6705 8642 9309 9630 12963 13410 15515 15943 18618 21605 25926 27927 31030 31886 38889 43210 46545 47829 55854 64815 77778 79715 93090 95658 129630 139635 143487 159430 194445 239145 279270 286974 388890 462347 478290 717435 924694 1387041 1434870 2311735 2774082 4161123 4623470 6935205 8322246 13870410 20805615 41611230