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41190128 = 247616029
BaseRepresentation
bin1001110100100…
…0001011110000
32212111200020022
42131020023300
541021041003
64030503012
71010052560
oct235101360
985450208
1041190128
1121283831
1211964a68
1386c2475
145682da0
153939738
hex27482f0

41190128 has 40 divisors (see below), whose sum is σ = 92717280. Its totient is φ = 17360640.

The previous prime is 41190113. The next prime is 41190137. The reversal of 41190128 is 82109114.

It is a junction number, because it is equal to n+sod(n) for n = 41190097 and 41190106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3818 + ... + 9846.

It is an arithmetic number, because the mean of its divisors is an integer number (2317932).

Almost surely, 241190128 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 41190128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46358640).

41190128 is an abundant number, since it is smaller than the sum of its proper divisors (51527152).

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

41190128 is a wasteful number, since it uses less digits than its factorization.

41190128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 41190128 is about 6417.9535679218. The cubic root of 41190128 is about 345.3539125329.

The spelling of 41190128 in words is "forty-one million, one hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6029 6832 12058 24116 42203 48232 84406 96464 168812 337624 367769 675248 735538 1471076 2574383 2942152 5148766 5884304 10297532 20595064 41190128