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442089288 = 23326140129
BaseRepresentation
bin11010010110011…
…011111101001000
31010210212110111100
4122112123331020
51401133324123
6111511301400
713645461024
oct3226337510
91123773440
10442089288
11207603253
1210407a860
137078a0c4
14429dd384
1528c29643
hex1a59bf48

442089288 has 24 divisors (see below), whose sum is σ = 1197325350. Its totient is φ = 147363072.

The previous prime is 442089269. The next prime is 442089289. The reversal of 442089288 is 882980244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 340845444 + 101243844 = 18462^2 + 10062^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (442089289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3069993 + ... + 3070136.

Almost surely, 2442089288 is an apocalyptic number.

It is an amenable number.

442089288 is an abundant number, since it is smaller than the sum of its proper divisors (755236062).

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

442089288 is a wasteful number, since it uses less digits than its factorization.

442089288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140141 (or 6140134 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 442089288 is about 21025.9194329285. The cubic root of 442089288 is about 761.7924497252.

The spelling of 442089288 in words is "four hundred forty-two million, eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6140129 12280258 18420387 24560516 36840774 49121032 55261161 73681548 110522322 147363096 221044644 442089288