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41209668 = 2233735227
BaseRepresentation
bin1001110100110…
…0111101000100
32212112200001000
42131030331010
541022202133
64031133300
71010163543
oct235147504
985480030
1041209668
1121297485
1211974230
1386cb326
14568a15a
153940413
hex274cf44

41209668 has 48 divisors (see below), whose sum is σ = 108324160. Its totient is φ = 13545792.

The previous prime is 41209643. The next prime is 41209697. The reversal of 41209668 is 86690214.

41209668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 10497.

Almost surely, 241209668 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 41209668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54162080).

41209668 is an abundant number, since it is smaller than the sum of its proper divisors (67114492).

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

41209668 is a wasteful number, since it uses less digits than its factorization.

41209668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41209668 is about 6419.4756795240. The cubic root of 41209668 is about 345.4085141974.

It can be divided in two parts, 412096 and 68, that added together give a square (412164 = 6422).

The spelling of 41209668 in words is "forty-one million, two hundred nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 5227 7884 10454 15681 20908 31362 47043 62724 94086 141129 188172 282258 381571 564516 763142 1144713 1526284 2289426 3434139 4578852 6868278 10302417 13736556 20604834 41209668