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41783920 = 2454112739
BaseRepresentation
bin1001111101100…
…1001001110000
32220121211202121
42133121021300
541144041140
64051324024
71015105003
oct237311160
986554677
1041783920
1121649972
1211bb0614
13886c819
14579953a
153a0564a
hex27d9270

41783920 has 40 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 16304640.

The previous prime is 41783881. The next prime is 41783923. The reversal of 41783920 is 2938714.

41783920 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 (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41783923) 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, 3090 + ... + 9649.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 241783920 is an apocalyptic number.

41783920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41783920 is an abundant number, since it is smaller than the sum of its proper divisors (57740960).

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

41783920 is a wasteful number, since it uses less digits than its factorization.

41783920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12787 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 41783920 is about 6464.0482671465. The cubic root of 41783920 is about 347.0055282916.

The spelling of 41783920 in words is "forty-one million, seven hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 12739 25478 50956 63695 101912 127390 203824 254780 509560 522299 1019120 1044598 2089196 2611495 4178392 5222990 8356784 10445980 20891960 41783920