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41364500 = 225382729
BaseRepresentation
bin1001110111001…
…0110000010100
32212211112102112
42131302300110
541042131000
64034330152
71011410132
oct235626024
985745375
1041364500
1121392841
1211a29958
138753948
1456ca752
153971235
hex2772c14

41364500 has 24 divisors (see below), whose sum is σ = 90341160. Its totient is φ = 16545600.

The previous prime is 41364497. The next prime is 41364503. The reversal of 41364500 is 546314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41364497) and next prime (41364503).

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 38588944 = 1666^2 + 6212^2 .

It is a super-3 number, since 3×413645003 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41364503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40865 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (3764215).

Almost surely, 241364500 is an apocalyptic number.

It is an amenable number.

41364500 is an abundant number, since it is smaller than the sum of its proper divisors (48976660).

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

41364500 is a wasteful number, since it uses less digits than its factorization.

41364500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82748 (or 82736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 41364500 is about 6431.5239251673. The cubic root of 41364500 is about 345.8405604851.

The spelling of 41364500 in words is "forty-one million, three hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 82729 165458 330916 413645 827290 1654580 2068225 4136450 8272900 10341125 20682250 41364500