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442727642 = 27210144729
BaseRepresentation
bin11010011000110…
…111110011011010
31010212001220011002
4122120313303122
51401314241032
6111533105002
713654060100
oct3230676332
91125056132
10442727642
112079a9915
12104328162
1370951826
1442b27c70
1528d03862
hex1a637cda

442727642 has 24 divisors (see below), whose sum is σ = 780180660. Its totient is φ = 187857600.

The previous prime is 442727641. The next prime is 442727653. The reversal of 442727642 is 246727244.

It can be written as a sum of positive squares in 2 ways, for example, as 363321721 + 79405921 = 19061^2 + 8911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442727596 and 442727605.

It is not an unprimeable number, because it can be changed into a prime (442727641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12467 + ... + 32262.

Almost surely, 2442727642 is an apocalyptic number.

442727642 is a deficient number, since it is larger than the sum of its proper divisors (337453018).

442727642 is a wasteful number, since it uses less digits than its factorization.

442727642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44846 (or 44839 counting only the distinct ones).

The product of its digits is 150528, while the sum is 38.

The square root of 442727642 is about 21041.0941255439. The cubic root of 442727642 is about 762.1589363132.

The spelling of 442727642 in words is "four hundred forty-two million, seven hundred twenty-seven thousand, six hundred forty-two".

Divisors: 1 2 7 14 49 98 101 202 707 1414 4949 9898 44729 89458 313103 626206 2191721 4383442 4517629 9035258 31623403 63246806 221363821 442727642