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442021107 = 3113234813
BaseRepresentation
bin11010010110001…
…011010011110011
31010210201222222010
4122112023103303
51401124133412
6111510014003
713645055163
oct3226132363
91123658863
10442021107
11207567000
12104047303
1370765068
14429c25a3
1528c1433c
hex1a58b4f3

442021107 has 32 divisors (see below), whose sum is σ = 676578816. Its totient is φ = 256190880.

The previous prime is 442021093. The next prime is 442021109. The reversal of 442021107 is 701120244.

It is a happy number.

It is not a de Polignac number, because 442021107 - 210 = 442020083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442021109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89433 + ... + 94245.

It is an arithmetic number, because the mean of its divisors is an integer number (21143088).

Almost surely, 2442021107 is an apocalyptic number.

442021107 is a deficient number, since it is larger than the sum of its proper divisors (234557709).

442021107 is a wasteful number, since it uses less digits than its factorization.

442021107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 442021107 is about 21024.2980144403. The cubic root of 442021107 is about 761.7532853582.

The spelling of 442021107 in words is "four hundred forty-two million, twenty-one thousand, one hundred seven".

Divisors: 1 3 11 23 33 69 121 253 363 759 1331 2783 3993 4813 8349 14439 30613 52943 91839 110699 158829 332097 582373 1217689 1747119 3653067 6406103 13394579 19218309 40183737 147340369 442021107