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40166441 = 723210847
BaseRepresentation
bin1001100100111…
…0010000101001
32210120122222222
42121032100221
540240311231
63552523425
7665260220
oct231162051
983518888
1040166441
1120744707
1211550575
138424533
145497cb7
1537d627b
hex264e429

40166441 has 12 divisors (see below), whose sum is σ = 47991552. Its totient is φ = 32928456.

The previous prime is 40166431. The next prime is 40166449. The reversal of 40166441 is 14466104.

It is a de Polignac number, because none of the positive numbers 2k-40166441 is a prime.

It is a super-2 number, since 2×401664412 = 3226685965212962, 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 40166441.

It is not an unprimeable number, because it can be changed into a prime (40166449) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1721 + ... + 9126.

It is an arithmetic number, because the mean of its divisors is an integer number (3999296).

Almost surely, 240166441 is an apocalyptic number.

It is an amenable number.

40166441 is a deficient number, since it is larger than the sum of its proper divisors (7825111).

40166441 is a wasteful number, since it uses less digits than its factorization.

40166441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 40166441 is about 6337.6999771210. The cubic root of 40166441 is about 342.4688831020.

The spelling of 40166441 in words is "forty million, one hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 7 23 161 529 3703 10847 75929 249481 1746367 5738063 40166441