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41091840 = 283352941
BaseRepresentation
bin1001110011000…
…0001100000000
32212022200102000
42130300030000
541004414330
64024424000
71006163166
oct234601400
985280360
1041091840
11212169a9
1211918000
1386897ca
145659236
15391a560
hex2730300

41091840 has 288 divisors, whose sum is σ = 154526400. Its totient is φ = 10321920.

The previous prime is 41091803. The next prime is 41091847. The reversal of 41091840 is 4819014.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41091847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002220 + ... + 1002260.

It is an arithmetic number, because the mean of its divisors is an integer number (536550).

Almost surely, 241091840 is an apocalyptic number.

41091840 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 41091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

41091840 is an abundant number, since it is smaller than the sum of its proper divisors (113434560).

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

41091840 is a wasteful number, since it uses less digits than its factorization.

41091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41091840 is about 6410.2917250309. The cubic root of 41091840 is about 345.0789989225.

The spelling of 41091840 in words is "forty-one million, ninety-one thousand, eight hundred forty".