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444666444 = 223371001501
BaseRepresentation
bin11010100000010…
…001001001001100
31010222201101200120
4122200101021030
51402313311234
6112042424540
714006413425
oct3240211114
91128641616
10444666444
11209003532
12104b02150
1371180151
14430b064c
1529088049
hex1a81124c

444666444 has 24 divisors (see below), whose sum is σ = 1065598128. Its totient is φ = 144216000.

The previous prime is 444666401. The next prime is 444666457.

444666444 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444666396 and 444666405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500307 + ... + 501194.

It is an arithmetic number, because the mean of its divisors is an integer number (44399922).

Almost surely, 2444666444 is an apocalyptic number.

It is an amenable number.

444666444 is an abundant number, since it is smaller than the sum of its proper divisors (620931684).

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

444666444 is a wasteful number, since it uses less digits than its factorization.

444666444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001545 (or 1001543 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The square root of 444666444 is about 21087.1155922284. The cubic root of 444666444 is about 763.2698702453.

The spelling of 444666444 in words is "four hundred forty-four million, six hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1001501 2003002 3004503 4006004 6009006 12018012 37055537 74111074 111166611 148222148 222333222 444666444