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444624066 = 2342744593
BaseRepresentation
bin11010100000000…
…110110011000010
31010222122020120000
4122200012303002
51402310432231
6112041500430
714006146035
oct3240066302
91128566500
10444624066
11208a84707
12104aa1716
1371166a83
144309d01c
152907a6e6
hex1a806cc2

444624066 has 20 divisors (see below), whose sum is σ = 996287622. Its totient is φ = 148207968.

The previous prime is 444624023. The next prime is 444624071. The reversal of 444624066 is 660426444.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 421439841 + 23184225 = 20529^2 + 4815^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444624066.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1372135 + ... + 1372458.

Almost surely, 2444624066 is an apocalyptic number.

444624066 is an abundant number, since it is smaller than the sum of its proper divisors (551663556).

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

444624066 is a wasteful number, since it uses less digits than its factorization.

444624066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744607 (or 2744598 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 444624066 is about 21086.1107366911. The cubic root of 444624066 is about 763.2456221986.

The spelling of 444624066 in words is "four hundred forty-four million, six hundred twenty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 2744593 5489186 8233779 16467558 24701337 49402674 74104011 148208022 222312033 444624066