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442496145 = 357131719069
BaseRepresentation
bin11010010111111…
…111010010010001
31010211122010121010
4122113333102101
51401234334040
6111524121133
713652104140
oct3227772221
91124563533
10442496145
112078609a3
121042361a9
13708a0350
1442aa7757
1528ca9e80
hex1a5ff491

442496145 has 64 divisors (see below), whose sum is σ = 922682880. Its totient is φ = 175730688.

The previous prime is 442496141. The next prime is 442496221. The reversal of 442496145 is 541694244.

It is not a de Polignac number, because 442496145 - 22 = 442496141 is a prime.

It is a super-2 number, since 2×4424961452 = 391605676679722050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442496141) 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 63 ways as a sum of consecutive naturals, for example, 13671 + ... + 32739.

It is an arithmetic number, because the mean of its divisors is an integer number (14416920).

Almost surely, 2442496145 is an apocalyptic number.

It is an amenable number.

442496145 is an abundant number, since it is smaller than the sum of its proper divisors (480186735).

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

442496145 is a wasteful number, since it uses less digits than its factorization.

442496145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114.

The product of its digits is 138240, while the sum is 39.

The square root of 442496145 is about 21035.5923377498. The cubic root of 442496145 is about 762.0260718823.

The spelling of 442496145 in words is "four hundred forty-two million, four hundred ninety-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 19069 23205 57207 95345 133483 247897 286035 324173 400449 667415 743691 972519 1239485 1620865 1735279 2002245 2269211 3718455 4214249 4862595 5205837 6807633 8676395 11346055 12642747 21071245 26029185 29499743 34038165 63213735 88499229 147498715 442496145