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41444016 = 24319291567
BaseRepresentation
bin1001111000011…
…0001010110000
32212222120111120
42132012022300
541102202031
64040142240
71012161015
oct236061260
985876446
1041444016
1121437559
1211a67980
138780bb3
14570b70c
153989a96
hex27862b0

41444016 has 80 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 12628224.

The previous prime is 41444009. The next prime is 41444027. The reversal of 41444016 is 61044414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25665 + ... + 27231.

It is an arithmetic number, because the mean of its divisors is an integer number (1458240).

Almost surely, 241444016 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 41444016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

41444016 is an abundant number, since it is smaller than the sum of its proper divisors (75215184).

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

41444016 is a wasteful number, since it uses less digits than its factorization.

41444016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 41444016 is about 6437.7026958380. The cubic root of 41444016 is about 346.0620245874.

The spelling of 41444016 in words is "forty-one million, four hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1567 1653 2204 3134 3306 4408 4701 6268 6612 8816 9402 12536 13224 18804 25072 26448 29773 37608 45443 59546 75216 89319 90886 119092 136329 178638 181772 238184 272658 357276 363544 476368 545316 714552 727088 863417 1090632 1429104 1726834 2181264 2590251 3453668 5180502 6907336 10361004 13814672 20722008 41444016