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41959968 = 253437083
BaseRepresentation
bin1010000000010…
…0001000100000
32220221210020220
42200010020200
541220204333
64055203040
71016440161
oct240041040
986853226
1041959968
112175a166
1212076480
1389019ab
145803768
153a3c8b3
hex2804220

41959968 has 24 divisors (see below), whose sum is σ = 110145168. Its totient is φ = 13986624.

The previous prime is 41959913. The next prime is 41959979. The reversal of 41959968 is 86995914.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×419599682 = 3521277829122048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41959968.

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 3 ways as a sum of consecutive naturals, for example, 218446 + ... + 218637.

It is an arithmetic number, because the mean of its divisors is an integer number (4589382).

Almost surely, 241959968 is an apocalyptic number.

41959968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41959968 is an abundant number, since it is smaller than the sum of its proper divisors (68185200).

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

41959968 is a wasteful number, since it uses less digits than its factorization.

41959968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437096 (or 437088 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 41959968 is about 6477.6514262501. The cubic root of 41959968 is about 347.4921910500.

The spelling of 41959968 in words is "forty-one million, nine hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 437083 874166 1311249 1748332 2622498 3496664 5244996 6993328 10489992 13986656 20979984 41959968