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41000085 = 3257731783
BaseRepresentation
bin1001110001100…
…1110010010101
32212011000112200
42130121302111
540444000320
64022435113
71005331530
oct234316225
985130480
1041000085
1121163a75
1211892a99
138656b09
145633a17
1538ed290
hex2719c95

41000085 has 48 divisors (see below), whose sum is σ = 82377984. Its totient is φ = 18475776.

The previous prime is 41000083. The next prime is 41000087. The reversal of 41000085 is 58000014.

41000085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41000083) and next prime (41000087).

It is not a de Polignac number, because 41000085 - 21 = 41000083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22104 + ... + 23886.

It is an arithmetic number, because the mean of its divisors is an integer number (1716208).

Almost surely, 241000085 is an apocalyptic number.

41000085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41000085 is an abundant number, since it is smaller than the sum of its proper divisors (41377899).

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

41000085 is a wasteful number, since it uses less digits than its factorization.

41000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41000085 is about 6403.1308748143. The cubic root of 41000085 is about 344.8219623295.

Adding to 41000085 its reverse (58000014), we get a palindrome (99000099).

The spelling of 41000085 in words is "forty-one million, eighty-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1095 1533 1783 2555 3285 4599 5349 7665 8915 12481 16047 22995 26745 37443 62405 80235 112329 130159 187215 390477 561645 650795 911113 1171431 1952385 2733339 4555565 5857155 8200017 13666695 41000085