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41004288 = 283213372
BaseRepresentation
bin1001110001101…
…0110100000000
32212011020022100
42130122310000
540444114123
64022510400
71005350013
oct234326400
985136270
1041004288
1121167146
1211895400
1386589c0
14563537a
1538ee643
hex271ad00

41004288 has 162 divisors, whose sum is σ = 130853814. Its totient is φ = 12275712.

The previous prime is 41004277. The next prime is 41004307. The reversal of 41004288 is 88240014.

It can be written as a sum of positive squares in 3 ways, for example, as 15116544 + 25887744 = 3888^2 + 5088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1108206 + ... + 1108242.

Almost surely, 241004288 is an apocalyptic number.

41004288 is a gapful number since it is divisible by the number (48) 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 41004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65426907).

41004288 is an abundant number, since it is smaller than the sum of its proper divisors (89849526).

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

41004288 is a wasteful number, since it uses less digits than its factorization.

41004288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 41004288 is about 6403.4590652240. The cubic root of 41004288 is about 344.8337447213.

The spelling of 41004288 in words is "forty-one million, four thousand, two hundred eighty-eight".