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442445549 = 72132232101
BaseRepresentation
bin11010010111110…
…010111011101101
31010211112120012012
4122113302323231
51401231224144
6111523051005
713651503500
oct3227627355
91124476165
10442445549
11207826987
12104210a65
1370883300
1442a93137
1528c99e9e
hex1a5f2eed

442445549 has 54 divisors (see below), whose sum is σ = 588370986. Its totient is φ = 331531200.

The previous prime is 442445539. The next prime is 442445561. The reversal of 442445549 is 945544244.

It can be written as a sum of positive squares in 3 ways, for example, as 37429924 + 405015625 = 6118^2 + 20125^2 .

It is not a de Polignac number, because 442445549 - 28 = 442445293 is a prime.

It is a super-2 number, since 2×4424455492 = 391516127659822802, which contains 22 as substring.

Its product of digits (460800) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442445539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4380599 + ... + 4380699.

It is an arithmetic number, because the mean of its divisors is an integer number (10895759).

Almost surely, 2442445549 is an apocalyptic number.

442445549 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

442445549 is a deficient number, since it is larger than the sum of its proper divisors (145925437).

442445549 is a wasteful number, since it uses less digits than its factorization.

442445549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The square root of 442445549 is about 21034.3896750060. The cubic root of 442445549 is about 761.9970268528.

The spelling of 442445549 in words is "four hundred forty-two million, four hundred forty-five thousand, five hundred forty-nine".

Divisors: 1 7 13 23 49 91 101 161 169 299 529 637 707 1127 1183 1313 2093 2323 3703 3887 4949 6877 8281 9191 14651 16261 17069 25921 27209 30199 48139 53429 64337 89401 113827 119483 190463 211393 336973 374003 392587 625807 694577 836381 1479751 2618021 2748109 4380649 4862039 9029501 19236763 34034273 63206507 442445549