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41886816 = 2534373139
BaseRepresentation
bin1001111111001…
…0010001100000
32220211001220120
42133302101200
541210334231
64053440240
71016013666
oct237622140
986731816
1041886816
112170a204
1212040080
1388a75ca
1457c4c36
153a25d96
hex27f2460

41886816 has 96 divisors (see below), whose sum is σ = 114871680. Its totient is φ = 13353984.

The previous prime is 41886799. The next prime is 41886829. The reversal of 41886816 is 61868814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301275 + ... + 301413.

It is an arithmetic number, because the mean of its divisors is an integer number (1196580).

Almost surely, 241886816 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 41886816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57435840).

41886816 is an abundant number, since it is smaller than the sum of its proper divisors (72984864).

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

41886816 is a wasteful number, since it uses less digits than its factorization.

41886816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 41886816 is about 6472.0024721874. The cubic root of 41886816 is about 347.2901370736.

The spelling of 41886816 in words is "forty-one million, eight hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 73 86 96 129 139 146 172 219 258 278 292 344 417 438 516 556 584 688 834 876 1032 1112 1168 1376 1668 1752 2064 2224 2336 3139 3336 3504 4128 4448 5977 6278 6672 7008 9417 10147 11954 12556 13344 17931 18834 20294 23908 25112 30441 35862 37668 40588 47816 50224 60882 71724 75336 81176 95632 100448 121764 143448 150672 162352 191264 243528 286896 301344 324704 436321 487056 573792 872642 974112 1308963 1745284 2617926 3490568 5235852 6981136 10471704 13962272 20943408 41886816