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442425165 = 357213192437
BaseRepresentation
bin11010010111101…
…101111101001101
31010211111112020020
4122113231331031
51401230101130
6111522412353
713651360200
oct3227557515
91124445206
10442425165
11207812636
121042010b9
1370876c50
1442a89937
1528c93e10
hex1a5edf4d

442425165 has 96 divisors (see below), whose sum is σ = 933851520. Its totient is φ = 176795136.

The previous prime is 442425157. The next prime is 442425167. The reversal of 442425165 is 561524244.

It is not a de Polignac number, because 442425165 - 23 = 442425157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442425167) 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 95 ways as a sum of consecutive naturals, for example, 180327 + ... + 182763.

It is an arithmetic number, because the mean of its divisors is an integer number (9727620).

Almost surely, 2442425165 is an apocalyptic number.

It is an amenable number.

442425165 is an abundant number, since it is smaller than the sum of its proper divisors (491426355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442425165 is a wasteful number, since it uses less digits than its factorization.

442425165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2484 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 442425165 is about 21033.9051295759. The cubic root of 442425165 is about 761.9853246325.

The spelling of 442425165 in words is "four hundred forty-two million, four hundred twenty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 49 57 65 91 95 105 133 147 195 245 247 273 285 399 455 637 665 735 741 931 1235 1365 1729 1911 1995 2437 2793 3185 3705 4655 5187 7311 8645 9555 12103 12185 13965 17059 25935 31681 36309 36555 46303 51177 60515 85295 95043 119413 138909 158405 181545 221767 231515 255885 324121 358239 475215 597065 601939 665301 694545 972363 1108835 1552369 1620605 1791195 1805817 2268847 3009695 3326505 4213573 4657107 4861815 6806541 7761845 9029085 11344235 12640719 21067865 23285535 29495011 34032705 63203595 88485033 147475055 442425165