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41106366 = 235743281
BaseRepresentation
bin1001110011001…
…1101110111110
32212100102100000
42130303232332
541010400431
64025015130
71006253430
oct234635676
985312300
1041106366
1121226904
12119244a6
1386932c2
145660650
15391e9e6
hex2733bbe

41106366 has 96 divisors (see below), whose sum is σ = 108396288. Its totient is φ = 11430720.

The previous prime is 41106353. The next prime is 41106383. The reversal of 41106366 is 66360114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146146 + ... + 146426.

It is an arithmetic number, because the mean of its divisors is an integer number (1129128).

Almost surely, 241106366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41106366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54198144).

41106366 is an abundant number, since it is smaller than the sum of its proper divisors (67289922).

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

41106366 is a wasteful number, since it uses less digits than its factorization.

41106366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41106366 is about 6411.4246466757. The cubic root of 41106366 is about 345.1196560375.

The spelling of 41106366 in words is "forty-one million, one hundred six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 243 258 281 301 378 387 486 562 567 602 774 843 903 1134 1161 1686 1701 1806 1967 2322 2529 2709 3402 3483 3934 5058 5418 5901 6966 7587 8127 10449 11802 12083 15174 16254 17703 20898 22761 24166 24381 35406 36249 45522 48762 53109 68283 72498 73143 84581 106218 108747 136566 146286 159327 169162 217494 253743 318654 326241 477981 507486 652482 761229 955962 978723 1522458 1957446 2283687 2936169 4567374 5872338 6851061 13702122 20553183 41106366