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41143008 = 2534110453
BaseRepresentation
bin1001110011110…
…0101011100000
32212102021121010
42130330223200
541013034013
64025500520
71006465314
oct234745340
985367533
1041143008
1121251395
1211941740
1386a6b9a
14566db44
15392a7c3
hex273cae0

41143008 has 48 divisors (see below), whose sum is σ = 110645136. Its totient is φ = 13378560.

The previous prime is 41143007. The next prime is 41143013. The reversal of 41143008 is 80034114.

41143008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×411430083 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41143007) 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 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 9162.

It is an arithmetic number, because the mean of its divisors is an integer number (2305107).

Almost surely, 241143008 is an apocalyptic number.

41143008 is a gapful number since it is divisible by the number (48) 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 41143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55322568).

41143008 is an abundant number, since it is smaller than the sum of its proper divisors (69502128).

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

41143008 is a wasteful number, since it uses less digits than its factorization.

41143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41143008 is about 6414.2815653820. The cubic root of 41143008 is about 345.2221715361. Note that the first 3 decimals are identical.

The spelling of 41143008 in words is "forty-one million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10453 20906 31359 41812 62718 83624 125436 167248 250872 334496 428573 501744 857146 1003488 1285719 1714292 2571438 3428584 5142876 6857168 10285752 13714336 20571504 41143008