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41825696 = 2511313833
BaseRepresentation
bin1001111110001…
…1010110100000
32220200222001212
42133203112200
541201410241
64052245252
71015340543
oct237432640
986628055
1041825696
11216782a0
1212010828
138885843
1457aa85a
153a12beb
hex27e35a0

41825696 has 48 divisors (see below), whose sum is σ = 92752128. Its totient is φ = 18393600.

The previous prime is 41825659. The next prime is 41825701. The reversal of 41825696 is 69652814.

It is a happy number.

41825696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8996 + ... + 12828.

It is an arithmetic number, because the mean of its divisors is an integer number (1932336).

Almost surely, 241825696 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 41825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46376064).

41825696 is an abundant number, since it is smaller than the sum of its proper divisors (50926432).

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

41825696 is a wasteful number, since it uses less digits than its factorization.

41825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3877 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 41825696 is about 6467.2788713647. The cubic root of 41825696 is about 347.1211363563.

The spelling of 41825696 in words is "forty-one million, eight hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 3833 5456 7666 10912 15332 30664 42163 61328 84326 118823 122656 168652 237646 337304 475292 674608 950584 1307053 1349216 1901168 2614106 3802336 5228212 10456424 20912848 41825696