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442814862 = 237229167311
BaseRepresentation
bin11010011001001…
…101000110001110
31010212020022210110
4122121031012032
51401330033422
6111535020450
713654602300
oct3231150616
91125208713
10442814862
11207a593a6
1210436a726
1370982439
1442b4b970
1528d1e60c
hex1a64d18e

442814862 has 96 divisors (see below), whose sum is σ = 1075576320. Its totient is φ = 121033920.

The previous prime is 442814857. The next prime is 442814863. The reversal of 442814862 is 268418244.

It is a self number, because there is not a number n which added to its sum of digits gives 442814862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442814863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423687 + ... + 1423997.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2442814862 is an apocalyptic number.

442814862 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442814862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

442814862 is an abundant number, since it is smaller than the sum of its proper divisors (632761458).

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

442814862 is a wasteful number, since it uses less digits than its factorization.

442814862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 442814862 is about 21043.1666343257. The cubic root of 442814862 is about 762.2089829869.

The spelling of 442814862 in words is "four hundred forty-two million, eight hundred fourteen thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 167 174 203 294 311 334 406 501 609 622 933 1002 1169 1218 1421 1866 2177 2338 2842 3507 4263 4354 4843 6531 7014 8183 8526 9019 9686 13062 14529 15239 16366 18038 24549 27057 29058 30478 33901 45717 49098 51937 54114 63133 67802 91434 101703 103874 126266 155811 189399 203406 237307 311622 363559 378798 441931 474614 711921 727118 883862 1090677 1325793 1423842 1506173 2181354 2544913 2651586 3012346 4518519 5089826 7634739 9037038 10543211 15269478 21086422 31629633 63259266 73802477 147604954 221407431 442814862