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41216364 = 22347171069
BaseRepresentation
bin1001110100111…
…0100101101100
32212120000020000
42131032211230
541022410424
64031224300
71010222220
oct235164554
985500200
1041216364
11212a1512
1211978090
1387013a7
14568c780
1539423c9
hex274e96c

41216364 has 120 divisors (see below), whose sum is σ = 130505760. Its totient is φ = 11073024.

The previous prime is 41216363. The next prime is 41216401. The reversal of 41216364 is 46361214.

41216364 is a `hidden beast` number, since 4 + 1 + 21 + 636 + 4 = 666.

It is a super-2 number, since 2×412163642 = 3397577322760992, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (41216363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38022 + ... + 39090.

It is an arithmetic number, because the mean of its divisors is an integer number (1087548).

Almost surely, 241216364 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 41216364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252880).

41216364 is an abundant number, since it is smaller than the sum of its proper divisors (89289396).

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

41216364 is a wasteful number, since it uses less digits than its factorization.

41216364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41216364 is about 6419.9971962611. The cubic root of 41216364 is about 345.4272212166.

Adding to 41216364 its reverse (46361214), we get a palindrome (87577578).

The spelling of 41216364 in words is "forty-one million, two hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1069 1071 1134 1377 1428 1836 2138 2142 2268 2754 3207 3213 4276 4284 5508 6414 6426 7483 9621 9639 12828 12852 14966 18173 19242 19278 22449 28863 29932 36346 38484 38556 44898 54519 57726 67347 72692 86589 89796 109038 115452 127211 134694 163557 173178 202041 218076 254422 269388 327114 346356 381633 404082 490671 508844 606123 654228 763266 808164 981342 1144899 1212246 1472013 1526532 1962684 2289798 2424492 2944026 3434697 4579596 5888052 6869394 10304091 13738788 20608182 41216364