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41606656 = 297131947
BaseRepresentation
bin1001111010110…
…1111000000000
32220021211121021
42132231320000
541122403111
64043435224
71013436130
oct236557000
986254537
1041606656
1121538773
1211b25b14
138809c30
145750ac0
1539bcd71
hex27ade00

41606656 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 15261696.

The previous prime is 41606533. The next prime is 41606657. The reversal of 41606656 is 65660614.

It is a super-2 number, since 2×416066562 = 3462227647004672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41606657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885225 + ... + 885271.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 241606656 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 41606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

41606656 is an abundant number, since it is smaller than the sum of its proper divisors (68386304).

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

41606656 is a wasteful number, since it uses less digits than its factorization.

41606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 41606656 is about 6450.3221624970. The cubic root of 41606656 is about 346.5141209184.

It can be divided in two parts, 4160 and 6656, that added together give a square (10816 = 1042).

The spelling of 41606656 in words is "forty-one million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 47 52 56 64 76 91 94 104 112 128 133 152 182 188 208 224 247 256 266 304 329 364 376 416 448 494 512 532 608 611 658 728 752 832 893 896 988 1064 1216 1222 1316 1456 1504 1664 1729 1786 1792 1976 2128 2432 2444 2632 2912 3008 3328 3458 3572 3584 3952 4256 4277 4864 4888 5264 5824 6016 6251 6656 6916 7144 7904 8512 8554 9728 9776 10528 11609 11648 12032 12502 13832 14288 15808 17024 17108 19552 21056 23218 23296 24064 25004 27664 28576 31616 34048 34216 39104 42112 46436 46592 50008 55328 57152 63232 68096 68432 78208 81263 84224 92872 100016 110656 114304 126464 136864 156416 162526 168448 185744 200032 221312 228608 273728 312832 325052 371488 400064 442624 457216 547456 650104 742976 800128 885248 1094912 1300208 1485952 1600256 2189824 2600416 2971904 3200512 5200832 5943808 10401664 20803328 41606656