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41966960 = 245774941
BaseRepresentation
bin1010000000010…
…1110101110000
32220222010211212
42200011311300
541220420320
64055255252
71016466440
oct240056560
986863755
1041966960
1121764442
121207a528
138904c29
145806120
153a3e9c5
hex2805d70

41966960 has 40 divisors (see below), whose sum is σ = 111513696. Its totient is φ = 14388480.

The previous prime is 41966929. The next prime is 41966987. The reversal of 41966960 is 6966914.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×419669602 = 3522451463283200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36911 + ... + 38030.

Almost surely, 241966960 is an apocalyptic number.

41966960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41966960 is an abundant number, since it is smaller than the sum of its proper divisors (69546736).

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

41966960 is a wasteful number, since it uses less digits than its factorization.

41966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74961 (or 74955 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 41966960 is about 6478.1911055479. The cubic root of 41966960 is about 347.5114914337.

The spelling of 41966960 in words is "forty-one million, nine hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 74941 149882 299764 374705 524587 599528 749410 1049174 1199056 1498820 2098348 2622935 2997640 4196696 5245870 5995280 8393392 10491740 20983480 41966960