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442791349 = 711134110789
BaseRepresentation
bin11010011001000…
…111010110110101
31010212012010112121
4122121013112311
51401323310344
6111534315541
713654443610
oct3231072665
91125163477
10442791349
11207a42770
12104358bb1
1370974820
1442b43177
1528d17684
hex1a6475b5

442791349 has 32 divisors (see below), whose sum is σ = 609073920. Its totient is φ = 310694400.

The previous prime is 442791337. The next prime is 442791353. The reversal of 442791349 is 943197244.

It is a cyclic number.

It is not a de Polignac number, because 442791349 - 27 = 442791221 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442791389) 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, 35647 + ... + 46435.

It is an arithmetic number, because the mean of its divisors is an integer number (19033560).

Almost surely, 2442791349 is an apocalyptic number.

It is an amenable number.

442791349 is a deficient number, since it is larger than the sum of its proper divisors (166282571).

442791349 is a wasteful number, since it uses less digits than its factorization.

442791349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861.

The product of its digits is 217728, while the sum is 43.

The square root of 442791349 is about 21042.6079419829. The cubic root of 442791349 is about 762.1954919183.

The spelling of 442791349 in words is "four hundred forty-two million, seven hundred ninety-one thousand, three hundred forty-nine".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 1001 3157 3731 5863 10789 41041 75523 118679 140257 442349 830753 981799 1542827 3096443 4865839 5750537 10799789 34060873 40253759 63255907 442791349