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41813248 = 28233701
BaseRepresentation
bin1001111110000…
…0010100000000
32220200022222211
42133200110000
541201010443
64052111504
71015256341
oct237402400
986608884
1041813248
1121669a04
1212005594
13887cc89
1457a60c8
153a0e19d
hex27e0500

41813248 has 36 divisors (see below), whose sum is σ = 83940948. Its totient is φ = 20787200.

The previous prime is 41813201. The next prime is 41813279. The reversal of 41813248 is 84231814.

It can be written as a sum of positive squares in 2 ways, for example, as 22733824 + 19079424 = 4768^2 + 4368^2 .

It is a super-3 number, since 3×418132483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59298 + ... + 59998.

It is an arithmetic number, because the mean of its divisors is an integer number (2331693).

Almost surely, 241813248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41970474).

41813248 is an abundant number, since it is smaller than the sum of its proper divisors (42127700).

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

41813248 is an equidigital number, since it uses as much as digits as its factorization.

41813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 41813248 is about 6466.3164166317. The cubic root of 41813248 is about 347.0866966613.

The spelling of 41813248 in words is "forty-one million, eight hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 701 932 1402 1864 2804 3728 5608 7456 11216 14912 22432 29824 44864 59648 89728 163333 179456 326666 653332 1306664 2613328 5226656 10453312 20906624 41813248