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442807849 = 11219132
BaseRepresentation
bin11010011001001…
…011011000101001
31010212012222011201
4122121023120221
51401324322344
6111534524201
713654542661
oct3231133051
91125188151
10442807849
11207a54100
12104366661
137097c1a3
1442b491a1
1528d1c4d4
hex1a64b629

442807849 has 9 divisors (see below), whose sum is σ = 486977239. Its totient is φ = 402342160.

The previous prime is 442807847. The next prime is 442807861. The reversal of 442807849 is 948708244.

It is a happy number.

The square root of 442807849 is 21043.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 385533225 + 57274624 = 19635^2 + 7568^2 .

It is not a de Polignac number, because 442807849 - 21 = 442807847 is a prime.

It is a super-2 number, since 2×4428078492 = 392157582272013602, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442807799 and 442807808.

It is not an unprimeable number, because it can be changed into a prime (442807843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 230517 + ... + 232429.

Almost surely, 2442807849 is an apocalyptic number.

442807849 is the 21043-rd square number.

442807849 is the 10522-nd centered octagonal number.

It is an amenable number.

442807849 is a deficient number, since it is larger than the sum of its proper divisors (44169390).

442807849 is an frugal number, since it uses more digits than its factorization.

442807849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The cubic root of 442807849 is about 762.2049591835.

The spelling of 442807849 in words is "four hundred forty-two million, eight hundred seven thousand, eight hundred forty-nine".

Divisors: 1 11 121 1913 21043 231473 3659569 40255259 442807849