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41166216 = 233271361103
BaseRepresentation
bin1001110100001…
…0010110001000
32212110110102200
42131002112020
541014304331
64030200200
71006623060
oct235022610
985413380
1041166216
1121267873
1211953060
1386b4610
1456783a0
1539325e6
hex2742588

41166216 has 192 divisors, whose sum is σ = 140824320. Its totient is φ = 10575360.

The previous prime is 41166211. The next prime is 41166227. The reversal of 41166216 is 61266114.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41166216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41166211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399621 + ... + 399723.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 241166216 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 41166216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

41166216 is an abundant number, since it is smaller than the sum of its proper divisors (99658104).

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

41166216 is a wasteful number, since it uses less digits than its factorization.

41166216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 41166216 is about 6416.0903983657. The cubic root of 41166216 is about 345.2870704546.

The spelling of 41166216 in words is "forty-one million, one hundred sixty-six thousand, two hundred sixteen".