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41444200 = 2352724229
BaseRepresentation
bin1001111000011…
…0001101101000
32212222120202101
42132012031220
541102203300
64040143144
71012161400
oct236061550
985876671
1041444200
1121437706
1211a67ab4
138780cc5
14570b800
153989b6a
hex2786368

41444200 has 72 divisors (see below), whose sum is σ = 112116150. Its totient is φ = 14206080.

The previous prime is 41444189. The next prime is 41444231. The reversal of 41444200 is 244414.

It can be written as a sum of positive squares in 3 ways, for example, as 40220964 + 1223236 = 6342^2 + 1106^2 .

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, 7686 + ... + 11914.

Almost surely, 241444200 is an apocalyptic number.

41444200 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 41444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56058075).

41444200 is an abundant number, since it is smaller than the sum of its proper divisors (70671950).

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

41444200 is a wasteful number, since it uses less digits than its factorization.

41444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 41444200 is about 6437.7169866343. The cubic root of 41444200 is about 346.0625367266.

Adding to 41444200 its reverse (244414), we get a palindrome (41688614).

The spelling of 41444200 in words is "forty-one million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4229 4900 8458 9800 16916 21145 29603 33832 42290 59206 84580 105725 118412 148015 169160 207221 211450 236824 296030 414442 422900 592060 740075 828884 845800 1036105 1184120 1480150 1657768 2072210 2960300 4144420 5180525 5920600 8288840 10361050 20722100 41444200