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442842015 = 357111273019
BaseRepresentation
bin11010011001010…
…011101110011111
31010212021201001010
4122121103232133
51401331421030
6111535350303
713655044410
oct3231235637
91125251033
10442842015
11207a77840
12104382393
13709918c5
1442b57807
1528d276b0
hex1a653b9f

442842015 has 64 divisors (see below), whose sum is σ = 890634240. Its totient is φ = 182528640.

The previous prime is 442842007. The next prime is 442842053. The reversal of 442842015 is 510248244.

It is not a de Polignac number, because 442842015 - 23 = 442842007 is a prime.

It is a super-2 number, since 2×4428420152 = 392218100498520450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145176 + ... + 148194.

It is an arithmetic number, because the mean of its divisors is an integer number (13916160).

Almost surely, 2442842015 is an apocalyptic number.

442842015 is an abundant number, since it is smaller than the sum of its proper divisors (447792225).

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

442842015 is a wasteful number, since it uses less digits than its factorization.

442842015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172.

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 442842015 is about 21043.8117982461. The cubic root of 442842015 is about 762.2245619864.

The spelling of 442842015 in words is "four hundred forty-two million, eight hundred forty-two thousand, fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 231 381 385 635 889 1155 1397 1905 2667 3019 4191 4445 6985 9057 9779 13335 15095 20955 21133 29337 33209 45285 48895 63399 99627 105665 146685 166045 232463 316995 383413 498135 697389 1150239 1162315 1917065 2683891 3486945 4217543 5751195 8051673 12652629 13419455 21087715 29522801 40258365 63263145 88568403 147614005 442842015