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66849444 = 223211316433
BaseRepresentation
bin1111111100000…
…0101010100100
311122210022012100
43333000222210
5114103140234
610344452100
71441132224
oct377005244
9148708170
1066849444
1134809a82
121a47a030
1310b077ac
148c42084
155d07399
hex3fc0aa4

66849444 has 36 divisors (see below), whose sum is σ = 170486316. Its totient is φ = 22084608.

The previous prime is 66849439. The next prime is 66849479. The reversal of 66849444 is 44494866.

66849444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34222500 + 32626944 = 5850^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66849444.

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 11 ways as a sum of consecutive naturals, for example, 4149 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (4735731).

Almost surely, 266849444 is an apocalyptic number.

It is an amenable number.

66849444 is an abundant number, since it is smaller than the sum of its proper divisors (103636872).

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

66849444 is a wasteful number, since it uses less digits than its factorization.

66849444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16551 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 66849444 is about 8176.1509281568. The cubic root of 66849444 is about 405.8503577878.

The spelling of 66849444 in words is "sixty-six million, eight hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 16433 32866 49299 65732 98598 147897 197196 295794 591588 1856929 3713858 5570787 7427716 11141574 16712361 22283148 33424722 66849444