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41133000 = 2335313711
BaseRepresentation
bin1001110011101…
…0001111001000
32212101202212110
42130322033020
541012224000
64025342320
71006424166
oct234721710
985352773
1041133000
1121244917
12119379a0
1386a246c
14566a236
153927850
hex273a3c8

41133000 has 64 divisors (see below), whose sum is σ = 128344320. Its totient is φ = 10968000.

The previous prime is 41132989. The next prime is 41133007. The reversal of 41133000 is 33114.

41133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (41133007) 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 15 ways as a sum of consecutive naturals, for example, 3856 + ... + 9855.

It is an arithmetic number, because the mean of its divisors is an integer number (2005380).

Almost surely, 241133000 is an apocalyptic number.

41133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41133000 is an abundant number, since it is smaller than the sum of its proper divisors (87211320).

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

41133000 is a wasteful number, since it uses less digits than its factorization.

41133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13735 (or 13721 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 41133000 is about 6413.5013837996. The cubic root of 41133000 is about 345.1941776043.

Adding to 41133000 its reverse (33114), we get a palindrome (41166114).

It can be divided in two parts, 411 and 33000, that added together give a triangular number (33411 = T258).

The spelling of 41133000 in words is "forty-one million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 13711 27422 41133 54844 68555 82266 109688 137110 164532 205665 274220 329064 342775 411330 548440 685550 822660 1028325 1371100 1645320 1713875 2056650 2742200 3427750 4113300 5141625 6855500 8226600 10283250 13711000 20566500 41133000