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41362000 = 245320681
BaseRepresentation
bin1001110111001…
…0001001010000
32212211101222221
42131302021100
541042041000
64034310424
71011366631
oct235621120
985741887
1041362000
1121390979
1211a28414
138752774
1456c9888
15397061a
hex2772250

41362000 has 40 divisors (see below), whose sum is σ = 100018152. Its totient is φ = 16544000.

The previous prime is 41361997. The next prime is 41362007. The reversal of 41362000 is 26314.

It can be written as a sum of positive squares in 4 ways, for example, as 7907344 + 33454656 = 2812^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41362007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8341 + ... + 12340.

Almost surely, 241362000 is an apocalyptic number.

41362000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41362000 is an abundant number, since it is smaller than the sum of its proper divisors (58656152).

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

41362000 is a wasteful number, since it uses less digits than its factorization.

41362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41362000 is about 6431.3295670491. The cubic root of 41362000 is about 345.8335930064.

Adding to 41362000 its reverse (26314), we get a palindrome (41388314).

The spelling of 41362000 in words is "forty-one million, three hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20681 41362 82724 103405 165448 206810 330896 413620 517025 827240 1034050 1654480 2068100 2585125 4136200 5170250 8272400 10340500 20681000 41362000