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41866368 = 273313517
BaseRepresentation
bin1001111110110…
…1010010000000
32220210000212020
42133231102000
541204210433
64053201440
71015600245
oct237552200
986700766
1041866368
11216a5905
1212030280
13889b1cb
1457bb5cc
153a1ecb3
hex27ed480

41866368 has 64 divisors (see below), whose sum is σ = 114827520. Its totient is φ = 13501440.

The previous prime is 41866361. The next prime is 41866397. The reversal of 41866368 is 86366814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×418663682 = 3505585539022848, which contains 22 as substring.

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 (41866361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10146 + ... + 13662.

It is an arithmetic number, because the mean of its divisors is an integer number (1794180).

Almost surely, 241866368 is an apocalyptic number.

41866368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57413760).

41866368 is an abundant number, since it is smaller than the sum of its proper divisors (72961152).

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

41866368 is a wasteful number, since it uses less digits than its factorization.

41866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3553 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 41866368 is about 6470.4225518895. The cubic root of 41866368 is about 347.2336153540.

The spelling of 41866368 in words is "forty-one million, eight hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3517 3968 5952 7034 10551 11904 14068 21102 28136 42204 56272 84408 109027 112544 168816 218054 225088 327081 337632 436108 450176 654162 675264 872216 1308324 1350528 1744432 2616648 3488864 5233296 6977728 10466592 13955456 20933184 41866368