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427807842 = 23711284181
BaseRepresentation
bin11001011111111…
…101010001100010
31002210222220000220
4121133331101202
51334004322332
6110241223510
713413210120
oct3137752142
91083886026
10427807842
111aa539400
12bb331b96
136a829847
1440b62910
1527857d2c
hex197fd462

427807842 has 48 divisors (see below), whose sum is σ = 1074835776. Its totient is φ = 111117600.

The previous prime is 427807841. The next prime is 427807847. The reversal of 427807842 is 248708724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 427807794 and 427807803.

It is not an unprimeable number, because it can be changed into a prime (427807841) 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 23 ways as a sum of consecutive naturals, for example, 37009 + ... + 47172.

It is an arithmetic number, because the mean of its divisors is an integer number (22392412).

Almost surely, 2427807842 is an apocalyptic number.

427807842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

427807842 is an abundant number, since it is smaller than the sum of its proper divisors (647027934).

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

427807842 is a wasteful number, since it uses less digits than its factorization.

427807842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84215 (or 84204 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 427807842 is about 20683.5161904353. The cubic root of 427807842 is about 753.4994050469.

The spelling of 427807842 in words is "four hundred twenty-seven million, eight hundred seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 84181 168362 252543 505086 589267 925991 1178534 1767801 1851982 2777973 3535602 5555946 6481937 10185901 12963874 19445811 20371802 30557703 38891622 61115406 71301307 142602614 213903921 427807842