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41365000 = 23548273
BaseRepresentation
bin1001110111001…
…0111000001000
32212211120010001
42131302320020
541042140000
64034332344
71011411445
oct235627010
985746101
1041365000
1121393156
1211a2a0b4
138753c41
1456ca9cc
15397146a
hex2772e08

41365000 has 40 divisors (see below), whose sum is σ = 96929910. Its totient is φ = 16544000.

The previous prime is 41364997. The next prime is 41365019. The reversal of 41365000 is 56314.

It can be written as a sum of positive squares in 5 ways, for example, as 2452356 + 38912644 = 1566^2 + 6238^2 .

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

It is a super-2 number, since 2×413650002 = 3422126450000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 864 + ... + 9136.

Almost surely, 241365000 is an apocalyptic number.

41365000 is a gapful number since it is divisible by the number (40) 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 41365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48464955).

41365000 is an abundant number, since it is smaller than the sum of its proper divisors (55564910).

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

41365000 is an equidigital number, since it uses as much as digits as its factorization.

41365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 41365000 is about 6431.5627960862. The cubic root of 41365000 is about 345.8419539471.

The spelling of 41365000 in words is "forty-one million, three hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8273 16546 33092 41365 66184 82730 165460 206825 330920 413650 827300 1034125 1654600 2068250 4136500 5170625 8273000 10341250 20682500 41365000