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41265840 = 24357211229
BaseRepresentation
bin1001110101101…
…0101010110000
32212122112002110
42131122222300
541031001330
64032245320
71010516400
oct235325260
985575073
1041265840
1121325700
12119a0840
13871aa75
1456a2800
153951db0
hex275aab0

41265840 has 360 divisors, whose sum is σ = 169207920. Its totient is φ = 8279040.

The previous prime is 41265821. The next prime is 41265871. The reversal of 41265840 is 4856214.

41265840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41265798 and 41265807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1422946 + ... + 1422974.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 241265840 is an apocalyptic number.

41265840 is a gapful number since it is divisible by the number (40) 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 41265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84603960).

41265840 is an abundant number, since it is smaller than the sum of its proper divisors (127942080).

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

41265840 is a wasteful number, since it uses less digits than its factorization.

41265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 41265840 is about 6423.8493133012. The cubic root of 41265840 is about 345.5653825494.

The spelling of 41265840 in words is "forty-one million, two hundred sixty-five thousand, eight hundred forty".