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41866128 = 2432290737
BaseRepresentation
bin1001111110110…
…1001110010000
32220210000112100
42133231032100
541204204003
64053200400
71015566453
oct237551620
986700470
1041866128
11216a5707
1212030100
13889b075
1457bb49a
153a1eba3
hex27ed390

41866128 has 30 divisors (see below), whose sum is σ = 117167414. Its totient is φ = 13955328.

The previous prime is 41866127. The next prime is 41866163. The reversal of 41866128 is 82166814.

It can be written as a sum of positive squares in only one way, i.e., 26749584 + 15116544 = 5172^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41866092 and 41866101.

It is not an unprimeable number, because it can be changed into a prime (41866127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145225 + ... + 145512.

Almost surely, 241866128 is an apocalyptic number.

41866128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41866128 is an abundant number, since it is smaller than the sum of its proper divisors (75301286).

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

41866128 is a wasteful number, since it uses less digits than its factorization.

41866128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290751 (or 290742 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41866128 is about 6470.4040059335. The cubic root of 41866128 is about 347.2329518443.

The spelling of 41866128 in words is "forty-one million, eight hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 290737 581474 872211 1162948 1744422 2325896 2616633 3488844 4651792 5233266 6977688 10466532 13955376 20933064 41866128