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427076982 = 23361317409
BaseRepresentation
bin11001011101001…
…010110101110110
31002202121202111000
4121131022311312
51333312430412
6110213424130
713404044253
oct3135126566
91082552430
10427076982
111aa08a292
12bb03b046
136a631c97
1440a1242a
15277614dc
hex1974ad76

427076982 has 64 divisors (see below), whose sum is σ = 970027200. Its totient is φ = 139242240.

The previous prime is 427076981. The next prime is 427077023. The reversal of 427076982 is 289670724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427076981) 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 31 ways as a sum of consecutive naturals, for example, 1043994 + ... + 1044402.

It is an arithmetic number, because the mean of its divisors is an integer number (15156675).

Almost surely, 2427076982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427076982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485013600).

427076982 is an abundant number, since it is smaller than the sum of its proper divisors (542950218).

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

427076982 is a wasteful number, since it uses less digits than its factorization.

427076982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 427076982 is about 20665.8409458701. The cubic root of 427076982 is about 753.0700717319.

The spelling of 427076982 in words is "four hundred twenty-seven million, seventy-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 317 366 409 549 634 818 951 1098 1227 1647 1902 2454 2853 3294 3681 5706 7362 8559 11043 17118 19337 22086 24949 38674 49898 58011 74847 116022 129653 149694 174033 224541 259306 348066 388959 449082 522099 673623 777918 1044198 1166877 1347246 2333754 3500631 7001262 7908833 15817666 23726499 47452998 71179497 142358994 213538491 427076982