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41275040 = 255614229
BaseRepresentation
bin1001110101110…
…0111010100000
32212122222201012
42131130322200
541031300130
64032400052
71010555252
oct235347240
985588635
1041275040
1121331604
12119a6028
138722001
1456a5cd2
153954995
hex275cea0

41275040 has 48 divisors (see below), whose sum is σ = 99134280. Its totient is φ = 16235520.

The previous prime is 41275037. The next prime is 41275063. The reversal of 41275040 is 4057214.

41275040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34904464 + 6370576 = 5908^2 + 2524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41274997 and 41275015.

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 7 ways as a sum of consecutive naturals, for example, 7646 + ... + 11874.

Almost surely, 241275040 is an apocalyptic number.

41275040 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 41275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49567140).

41275040 is an abundant number, since it is smaller than the sum of its proper divisors (57859240).

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

41275040 is a wasteful number, since it uses less digits than its factorization.

41275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 41275040 is about 6424.5653549481. The cubic root of 41275040 is about 345.5910612972.

The spelling of 41275040 in words is "forty-one million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4229 4880 8458 9760 16916 21145 33832 42290 67664 84580 135328 169160 257969 338320 515938 676640 1031876 1289845 2063752 2579690 4127504 5159380 8255008 10318760 20637520 41275040