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41984016 = 24317232237
BaseRepresentation
bin1010000000101…
…0000000010000
32221000000020120
42200022000100
541221442031
64055510240
71016600244
oct240120020
987000216
1041984016
1121776238
1212088380
13890c919
14580c424
153a44a96
hex280a010

41984016 has 80 divisors (see below), whose sum is σ = 119885184. Its totient is φ = 12593152.

The previous prime is 41983969. The next prime is 41984021. The reversal of 41984016 is 61048914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17650 + ... + 19886.

Almost surely, 241984016 is an apocalyptic number.

41984016 is a gapful number since it is divisible by the number (46) 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 41984016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59942592).

41984016 is an abundant number, since it is smaller than the sum of its proper divisors (77901168).

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

41984016 is a wasteful number, since it uses less digits than its factorization.

41984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 41984016 is about 6479.5073886832. The cubic root of 41984016 is about 347.5585630127.

The spelling of 41984016 in words is "forty-one million, nine hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2237 2346 3128 4474 4692 6256 6711 8948 9384 13422 17896 18768 26844 35792 38029 51451 53688 76058 102902 107376 114087 152116 154353 205804 228174 304232 308706 411608 456348 608464 617412 823216 874667 912696 1234824 1749334 1825392 2469648 2624001 3498668 5248002 6997336 10496004 13994672 20992008 41984016