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41481636 = 22372194779
BaseRepresentation
bin1001111000111…
…1010110100100
32220001111002220
42132033112210
541104403021
64041032340
71012405500
oct236172644
986044086
1041481636
1121462849
1211a856b0
138795061
14571b300
153995cc6
hex278f5a4

41481636 has 144 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 10850112.

The previous prime is 41481619. The next prime is 41481637. The reversal of 41481636 is 63618414.

It is a super-2 number, since 2×414816362 = 3441452250472992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41481597 and 41481606.

It is not an unprimeable number, because it can be changed into a prime (41481637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525045 + ... + 525123.

It is an arithmetic number, because the mean of its divisors is an integer number (851200).

Almost surely, 241481636 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 41481636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

41481636 is an abundant number, since it is smaller than the sum of its proper divisors (81091164).

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

41481636 is a wasteful number, since it uses less digits than its factorization.

41481636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 41481636 is about 6440.6238828238. The cubic root of 41481636 is about 346.1667032793.

The spelling of 41481636 in words is "forty-one million, four hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 49 57 76 79 84 94 98 114 133 141 147 158 188 196 228 237 266 282 294 316 329 399 474 532 553 564 588 658 798 893 931 948 987 1106 1316 1501 1596 1659 1786 1862 1974 2212 2303 2679 2793 3002 3318 3572 3713 3724 3871 3948 4503 4606 5358 5586 6004 6251 6636 6909 7426 7742 9006 9212 10507 10716 11139 11172 11613 12502 13818 14852 15484 18012 18753 21014 22278 23226 25004 25991 27636 31521 37506 42028 43757 44556 46452 51982 63042 70547 73549 75012 77973 87514 103964 126084 131271 141094 147098 155946 175028 181937 211641 220647 262542 282188 294196 311892 363874 423282 441294 493829 525084 545811 727748 846564 882588 987658 1091622 1481487 1975316 2183244 2962974 3456803 5925948 6913606 10370409 13827212 20740818 41481636