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416066644 = 22728572477
BaseRepresentation
bin11000110011001…
…010110001010100
31001222220101010201
4120303022301110
51323003113034
6105141430244
713211336200
oct3063126124
91058811121
10416066644
111a394a034
12b740b384
13682785a6
143d387b00
15267d9014
hex18ccac54

416066644 has 36 divisors (see below), whose sum is σ = 848323476. Its totient is φ = 178034304.

The previous prime is 416066641. The next prime is 416066713. The reversal of 416066644 is 446660614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 310182544 + 105884100 = 17612^2 + 10290^2 .

It is a super-2 number, since 2×4160666442 = 346222904498845472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416066641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 166734 + ... + 169210.

It is an arithmetic number, because the mean of its divisors is an integer number (23564541).

Almost surely, 2416066644 is an apocalyptic number.

It is an amenable number.

416066644 is an abundant number, since it is smaller than the sum of its proper divisors (432256832).

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

416066644 is a wasteful number, since it uses less digits than its factorization.

416066644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 416066644 is about 20397.7117344079. The cubic root of 416066644 is about 746.5420929326.

The spelling of 416066644 in words is "four hundred sixteen million, sixty-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 857 1714 2477 3428 4954 5999 9908 11998 17339 23996 34678 41993 69356 83986 121373 167972 242746 485492 2122789 4245578 8491156 14859523 29719046 59438092 104016661 208033322 416066644