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41085760 = 265128393
BaseRepresentation
bin1001110010111…
…0101101000000
32212022101001211
42130232231000
541004221020
64024335504
71006136362
oct234565500
985271054
1041085760
1121212381
1211914594
138686b01
145656d32
15391885a
hex272eb40

41085760 has 28 divisors (see below), whose sum is σ = 97836228. Its totient is φ = 16434176.

The previous prime is 41085749. The next prime is 41085763. The reversal of 41085760 is 6758014.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 15116544 = 5096^2 + 3888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41085763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63877 + ... + 64516.

It is an arithmetic number, because the mean of its divisors is an integer number (3494151).

Almost surely, 241085760 is an apocalyptic number.

41085760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41085760 is an abundant number, since it is smaller than the sum of its proper divisors (56750468).

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

41085760 is a wasteful number, since it uses less digits than its factorization.

41085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128410 (or 128400 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 41085760 is about 6409.8174701001. The cubic root of 41085760 is about 345.0619786430.

It can be divided in two parts, 4 and 1085760, that added together give a square (1085764 = 10422).

The spelling of 41085760 in words is "forty-one million, eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 128393 256786 513572 641965 1027144 1283930 2054288 2567860 4108576 5135720 8217152 10271440 20542880 41085760