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41444000 = 255313797
BaseRepresentation
bin1001111000011…
…0001010100000
32212222120110222
42132012022200
541102202000
64040142212
71012160663
oct236061240
985876428
1041444000
1121437544
1211a67968
138780ba0
14570b6da
153989a85
hex27862a0

41444000 has 96 divisors (see below), whose sum is σ = 109798416. Its totient is φ = 15283200.

The previous prime is 41443991. The next prime is 41444003. The reversal of 41444000 is 44414.

It can be written as a sum of positive squares in 8 ways, for example, as 21904 + 41422096 = 148^2 + 6436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41444003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51602 + ... + 52398.

Almost surely, 241444000 is an apocalyptic number.

41444000 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 41444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

41444000 is an abundant number, since it is smaller than the sum of its proper divisors (68354416).

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

41444000 is a wasteful number, since it uses less digits than its factorization.

41444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 41444000 is about 6437.7014531586. The cubic root of 41444000 is about 346.0619800535.

Adding to 41444000 its reverse (44414), we get a palindrome (41488414).

The spelling of 41444000 in words is "forty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 797 800 1000 1040 1300 1594 1625 2000 2080 2600 3188 3250 3985 4000 5200 6376 6500 7970 10361 10400 12752 13000 15940 19925 20722 25504 26000 31880 39850 41444 51805 52000 63760 79700 82888 99625 103610 127520 159400 165776 199250 207220 259025 318800 331552 398500 414440 518050 637600 797000 828880 1036100 1295125 1594000 1657760 2072200 2590250 3188000 4144400 5180500 8288800 10361000 20722000 41444000